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Finding the Fourth Proportional to 127,235.76, 190,919.24 and 52,411.20

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Solution

The fourth proportional to 127,235.76, 190,919.24 and 52,411.20 is: 78,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,235.76 : 190,919.24 = 52,411.20 : x
  2. Step 2: Convert to fraction form
    127,235.76/190,919.24 = 52,411.20/x
  3. Step 3: Cross multiply
    127,235.76x = 190,919.24 × 52,411.20
  4. Step 4: Simplify right side
    127,235.76x = 10,006,306,471.49
  5. Step 5: Solve for x
    x = 10,006,306,471.49/127,235.76
  6. Step 6: Final answer
    x = 78,643.82

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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.