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Finding the Fourth Proportional to 78,485.16, 117,715.11 and 21,545.78

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Solution

The fourth proportional to 78,485.16, 117,715.11 and 21,545.78 is: 32,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,485.16 : 117,715.11 = 21,545.78 : x
  2. Step 2: Convert to fraction form
    78,485.16/117,715.11 = 21,545.78/x
  3. Step 3: Cross multiply
    78,485.16x = 117,715.11 × 21,545.78
  4. Step 4: Simplify right side
    78,485.16x = 2,536,263,862.74
  5. Step 5: Solve for x
    x = 2,536,263,862.74/78,485.16
  6. Step 6: Final answer
    x = 32,315.20

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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.