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Finding the Fourth Proportional to 119,437.32, 164,828.92 and 74,129.90

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Solution

The fourth proportional to 119,437.32, 164,828.92 and 74,129.90 is: 102,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,437.32 : 164,828.92 = 74,129.90 : x
  2. Step 2: Convert to fraction form
    119,437.32/164,828.92 = 74,129.90/x
  3. Step 3: Cross multiply
    119,437.32x = 164,828.92 × 74,129.90
  4. Step 4: Simplify right side
    119,437.32x = 12,218,751,356.71
  5. Step 5: Solve for x
    x = 12,218,751,356.71/119,437.32
  6. Step 6: Final answer
    x = 102,302.62

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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.