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Finding the Fourth Proportional to 77,045.92, 106,411.12 and 51,851.68

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Solution

The fourth proportional to 77,045.92, 106,411.12 and 51,851.68 is: 71,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,045.92 : 106,411.12 = 51,851.68 : x
  2. Step 2: Convert to fraction form
    77,045.92/106,411.12 = 51,851.68/x
  3. Step 3: Cross multiply
    77,045.92x = 106,411.12 × 51,851.68
  4. Step 4: Simplify right side
    77,045.92x = 5,517,595,342.68
  5. Step 5: Solve for x
    x = 5,517,595,342.68/77,045.92
  6. Step 6: Final answer
    x = 71,614.37

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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.