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Finding the Fourth Proportional to 102,503.75, 141,471.63 and 85,477.95

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Solution

The fourth proportional to 102,503.75, 141,471.63 and 85,477.95 is: 117,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,503.75 : 141,471.63 = 85,477.95 : x
  2. Step 2: Convert to fraction form
    102,503.75/141,471.63 = 85,477.95/x
  3. Step 3: Cross multiply
    102,503.75x = 141,471.63 × 85,477.95
  4. Step 4: Simplify right side
    102,503.75x = 12,092,704,915.56
  5. Step 5: Solve for x
    x = 12,092,704,915.56/102,503.75
  6. Step 6: Final answer
    x = 117,973.30

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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.