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Finding the Fourth Proportional to 136,002.97, 187,684.91 and 74,748.50

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Solution

The fourth proportional to 136,002.97, 187,684.91 and 74,748.50 is: 103,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,002.97 : 187,684.91 = 74,748.50 : x
  2. Step 2: Convert to fraction form
    136,002.97/187,684.91 = 74,748.50/x
  3. Step 3: Cross multiply
    136,002.97x = 187,684.91 × 74,748.50
  4. Step 4: Simplify right side
    136,002.97x = 14,029,165,495.14
  5. Step 5: Solve for x
    x = 14,029,165,495.14/136,002.97
  6. Step 6: Final answer
    x = 103,153.38

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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.