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Finding the Fourth Proportional to 119,705.59, 165,186.12 and 65,987.65

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Solution

The fourth proportional to 119,705.59, 165,186.12 and 65,987.65 is: 91,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,705.59 : 165,186.12 = 65,987.65 : x
  2. Step 2: Convert to fraction form
    119,705.59/165,186.12 = 65,987.65/x
  3. Step 3: Cross multiply
    119,705.59x = 165,186.12 × 65,987.65
  4. Step 4: Simplify right side
    119,705.59x = 10,900,243,871.42
  5. Step 5: Solve for x
    x = 10,900,243,871.42/119,705.59
  6. Step 6: Final answer
    x = 91,058.77

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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.