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Finding the Fourth Proportional to 119,624.87, 165,082.64 and 65,909.72

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Solution

The fourth proportional to 119,624.87, 165,082.64 and 65,909.72 is: 90,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,624.87 : 165,082.64 = 65,909.72 : x
  2. Step 2: Convert to fraction form
    119,624.87/165,082.64 = 65,909.72/x
  3. Step 3: Cross multiply
    119,624.87x = 165,082.64 × 65,909.72
  4. Step 4: Simplify right side
    119,624.87x = 10,880,549,424.30
  5. Step 5: Solve for x
    x = 10,880,549,424.30/119,624.87
  6. Step 6: Final answer
    x = 90,955.58

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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.