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Finding the Fourth Proportional to 77,902.60, 107,513.40 and 47,707.60

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Solution

The fourth proportional to 77,902.60, 107,513.40 and 47,707.60 is: 65,841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,902.60 : 107,513.40 = 47,707.60 : x
  2. Step 2: Convert to fraction form
    77,902.60/107,513.40 = 47,707.60/x
  3. Step 3: Cross multiply
    77,902.60x = 107,513.40 × 47,707.60
  4. Step 4: Simplify right side
    77,902.60x = 5,129,206,281.84
  5. Step 5: Solve for x
    x = 5,129,206,281.84/77,902.60
  6. Step 6: Final answer
    x = 65,841.27

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1.5x scale

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.