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Finding the Fourth Proportional to 139,527.92, 209,142.84 and 101,486

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Solution

The fourth proportional to 139,527.92, 209,142.84 and 101,486 is: 152,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,527.92 : 209,142.84 = 101,486 : x
  2. Step 2: Convert to fraction form
    139,527.92/209,142.84 = 101,486/x
  3. Step 3: Cross multiply
    139,527.92x = 209,142.84 × 101,486
  4. Step 4: Simplify right side
    139,527.92x = 21,225,070,260.24
  5. Step 5: Solve for x
    x = 21,225,070,260.24/139,527.92
  6. Step 6: Final answer
    x = 152,120.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.