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Finding the Fourth Proportional to 102,774.72, 141,826.50 and 62,489.64

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Solution

The fourth proportional to 102,774.72, 141,826.50 and 62,489.64 is: 86,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,774.72 : 141,826.50 = 62,489.64 : x
  2. Step 2: Convert to fraction form
    102,774.72/141,826.50 = 62,489.64/x
  3. Step 3: Cross multiply
    102,774.72x = 141,826.50 × 62,489.64
  4. Step 4: Simplify right side
    102,774.72x = 8,862,686,927.46
  5. Step 5: Solve for x
    x = 8,862,686,927.46/102,774.72
  6. Step 6: Final answer
    x = 86,234.11

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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.