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Finding the Fourth Proportional to 71,748,806.40, 100,221,580.80 and 71,748,806.40

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Solution

The fourth proportional to 71,748,806.40, 100,221,580.80 and 71,748,806.40 is: 100,221,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,748,806.40 : 100,221,580.80 = 71,748,806.40 : x
  2. Step 2: Convert to fraction form
    71,748,806.40/100,221,580.80 = 71,748,806.40/x
  3. Step 3: Cross multiply
    71,748,806.40x = 100,221,580.80 × 71,748,806.40
  4. Step 4: Simplify right side
    71,748,806.40x = 7,190,778,797,921,158
  5. Step 5: Solve for x
    x = 7,190,778,797,921,158/71,748,806.40
  6. Step 6: Final answer
    x = 100,221,580.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.