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Finding the Fourth Proportional to 138,406.15, 191,000.50 and 74,743.95

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Solution

The fourth proportional to 138,406.15, 191,000.50 and 74,743.95 is: 103,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406.15 : 191,000.50 = 74,743.95 : x
  2. Step 2: Convert to fraction form
    138,406.15/191,000.50 = 74,743.95/x
  3. Step 3: Cross multiply
    138,406.15x = 191,000.50 × 74,743.95
  4. Step 4: Simplify right side
    138,406.15x = 14,276,132,351.37
  5. Step 5: Solve for x
    x = 14,276,132,351.37/138,406.15
  6. Step 6: Final answer
    x = 103,146.66

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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.