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Finding the Fourth Proportional to 253,411.79, 380,130.32 and 75,901.88

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Solution

The fourth proportional to 253,411.79, 380,130.32 and 75,901.88 is: 113,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,411.79 : 380,130.32 = 75,901.88 : x
  2. Step 2: Convert to fraction form
    253,411.79/380,130.32 = 75,901.88/x
  3. Step 3: Cross multiply
    253,411.79x = 380,130.32 × 75,901.88
  4. Step 4: Simplify right side
    253,411.79x = 28,852,607,073.08
  5. Step 5: Solve for x
    x = 28,852,607,073.08/253,411.79
  6. Step 6: Final answer
    x = 113,856.61

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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.