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Finding the Fourth Proportional to 77,866.68, 116,830.32 and 31,132.92

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Solution

The fourth proportional to 77,866.68, 116,830.32 and 31,132.92 is: 46,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866.68 : 116,830.32 = 31,132.92 : x
  2. Step 2: Convert to fraction form
    77,866.68/116,830.32 = 31,132.92/x
  3. Step 3: Cross multiply
    77,866.68x = 116,830.32 × 31,132.92
  4. Step 4: Simplify right side
    77,866.68x = 3,637,269,006.13
  5. Step 5: Solve for x
    x = 3,637,269,006.13/77,866.68
  6. Step 6: Final answer
    x = 46,711.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.