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Finding the Fourth Proportional to 138,443.03, 191,051.50 and 74,780.88

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Solution

The fourth proportional to 138,443.03, 191,051.50 and 74,780.88 is: 103,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,443.03 : 191,051.50 = 74,780.88 : x
  2. Step 2: Convert to fraction form
    138,443.03/191,051.50 = 74,780.88/x
  3. Step 3: Cross multiply
    138,443.03x = 191,051.50 × 74,780.88
  4. Step 4: Simplify right side
    138,443.03x = 14,286,999,295.32
  5. Step 5: Solve for x
    x = 14,286,999,295.32/138,443.03
  6. Step 6: Final answer
    x = 103,197.68

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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.