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Finding the Fourth Proportional to 119,798.18, 165,374.62 and 77,377.40

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Solution

The fourth proportional to 119,798.18, 165,374.62 and 77,377.40 is: 106,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,798.18 : 165,374.62 = 77,377.40 : x
  2. Step 2: Convert to fraction form
    119,798.18/165,374.62 = 77,377.40/x
  3. Step 3: Cross multiply
    119,798.18x = 165,374.62 × 77,377.40
  4. Step 4: Simplify right side
    119,798.18x = 12,796,257,101.27
  5. Step 5: Solve for x
    x = 12,796,257,101.27/119,798.18
  6. Step 6: Final answer
    x = 106,815.13

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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.