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Finding the Fourth Proportional to 138,953.40, 191,750.55 and 75,289.83

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Solution

The fourth proportional to 138,953.40, 191,750.55 and 75,289.83 is: 103,897.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,953.40 : 191,750.55 = 75,289.83 : x
  2. Step 2: Convert to fraction form
    138,953.40/191,750.55 = 75,289.83/x
  3. Step 3: Cross multiply
    138,953.40x = 191,750.55 × 75,289.83
  4. Step 4: Simplify right side
    138,953.40x = 14,436,866,311.91
  5. Step 5: Solve for x
    x = 14,436,866,311.91/138,953.40
  6. Step 6: Final answer
    x = 103,897.18

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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.