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Finding the Fourth Proportional to 127,978.20, 191,708.10 and 72,509.40

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Solution

The fourth proportional to 127,978.20, 191,708.10 and 72,509.40 is: 108,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.20 : 191,708.10 = 72,509.40 : x
  2. Step 2: Convert to fraction form
    127,978.20/191,708.10 = 72,509.40/x
  3. Step 3: Cross multiply
    127,978.20x = 191,708.10 × 72,509.40
  4. Step 4: Simplify right side
    127,978.20x = 13,900,639,306.14
  5. Step 5: Solve for x
    x = 13,900,639,306.14/127,978.20
  6. Step 6: Final answer
    x = 108,617.24

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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.