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Finding the Fourth Proportional to 119,539, 164,908.40 and 77,111.20

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Solution

The fourth proportional to 119,539, 164,908.40 and 77,111.20 is: 106,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,539 : 164,908.40 = 77,111.20 : x
  2. Step 2: Convert to fraction form
    119,539/164,908.40 = 77,111.20/x
  3. Step 3: Cross multiply
    119,539x = 164,908.40 × 77,111.20
  4. Step 4: Simplify right side
    119,539x = 12,716,284,614.08
  5. Step 5: Solve for x
    x = 12,716,284,614.08/119,539
  6. Step 6: Final answer
    x = 106,377.71

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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.