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Finding the Fourth Proportional to 119,100.17, 178,421.74 and 73,987.83

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Solution

The fourth proportional to 119,100.17, 178,421.74 and 73,987.83 is: 110,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,100.17 : 178,421.74 = 73,987.83 : x
  2. Step 2: Convert to fraction form
    119,100.17/178,421.74 = 73,987.83/x
  3. Step 3: Cross multiply
    119,100.17x = 178,421.74 × 73,987.83
  4. Step 4: Simplify right side
    119,100.17x = 13,201,037,182.45
  5. Step 5: Solve for x
    x = 13,201,037,182.45/119,100.17
  6. Step 6: Final answer
    x = 110,839.78

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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.