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Finding the Fourth Proportional to 73,988.16, 102,109.92 and 45,307.68

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Solution

The fourth proportional to 73,988.16, 102,109.92 and 45,307.68 is: 62,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,988.16 : 102,109.92 = 45,307.68 : x
  2. Step 2: Convert to fraction form
    73,988.16/102,109.92 = 45,307.68/x
  3. Step 3: Cross multiply
    73,988.16x = 102,109.92 × 45,307.68
  4. Step 4: Simplify right side
    73,988.16x = 4,626,363,580.19
  5. Step 5: Solve for x
    x = 4,626,363,580.19/73,988.16
  6. Step 6: Final answer
    x = 62,528.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.