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Finding the Fourth Proportional to 77,785.71, 107,310.58 and 47,572.30

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Solution

The fourth proportional to 77,785.71, 107,310.58 and 47,572.30 is: 65,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,785.71 : 107,310.58 = 47,572.30 : x
  2. Step 2: Convert to fraction form
    77,785.71/107,310.58 = 47,572.30/x
  3. Step 3: Cross multiply
    77,785.71x = 107,310.58 × 47,572.30
  4. Step 4: Simplify right side
    77,785.71x = 5,105,011,104.93
  5. Step 5: Solve for x
    x = 5,105,011,104.93/77,785.71
  6. Step 6: Final answer
    x = 65,629.16

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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.