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Finding the Fourth Proportional to 77,146.56, 115,717.60 and 24,559.20

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Solution

The fourth proportional to 77,146.56, 115,717.60 and 24,559.20 is: 36,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,146.56 : 115,717.60 = 24,559.20 : x
  2. Step 2: Convert to fraction form
    77,146.56/115,717.60 = 24,559.20/x
  3. Step 3: Cross multiply
    77,146.56x = 115,717.60 × 24,559.20
  4. Step 4: Simplify right side
    77,146.56x = 2,841,931,681.92
  5. Step 5: Solve for x
    x = 2,841,931,681.92/77,146.56
  6. Step 6: Final answer
    x = 36,838.09

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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.