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Finding the Fourth Proportional to 117,138.30, 175,681.13 and 53,897.76

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Solution

The fourth proportional to 117,138.30, 175,681.13 and 53,897.76 is: 80,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,138.30 : 175,681.13 = 53,897.76 : x
  2. Step 2: Convert to fraction form
    117,138.30/175,681.13 = 53,897.76/x
  3. Step 3: Cross multiply
    117,138.30x = 175,681.13 × 53,897.76
  4. Step 4: Simplify right side
    117,138.30x = 9,468,819,111.78
  5. Step 5: Solve for x
    x = 9,468,819,111.78/117,138.30
  6. Step 6: Final answer
    x = 80,834.53

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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.