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Finding the Fourth Proportional to 102,655.97, 141,586.50 and 61,777.50

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Solution

The fourth proportional to 102,655.97, 141,586.50 and 61,777.50 is: 85,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,655.97 : 141,586.50 = 61,777.50 : x
  2. Step 2: Convert to fraction form
    102,655.97/141,586.50 = 61,777.50/x
  3. Step 3: Cross multiply
    102,655.97x = 141,586.50 × 61,777.50
  4. Step 4: Simplify right side
    102,655.97x = 8,746,860,003.75
  5. Step 5: Solve for x
    x = 8,746,860,003.75/102,655.97
  6. Step 6: Final answer
    x = 85,205.57

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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.