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Finding the Fourth Proportional to 119,798.12, 165,374.54 and 77,377.34

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Solution

The fourth proportional to 119,798.12, 165,374.54 and 77,377.34 is: 106,815.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,798.12 : 165,374.54 = 77,377.34 : x
  2. Step 2: Convert to fraction form
    119,798.12/165,374.54 = 77,377.34/x
  3. Step 3: Cross multiply
    119,798.12x = 165,374.54 × 77,377.34
  4. Step 4: Simplify right side
    119,798.12x = 12,796,240,795.16
  5. Step 5: Solve for x
    x = 12,796,240,795.16/119,798.12
  6. Step 6: Final answer
    x = 106,815.04

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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.