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Finding the Fourth Proportional to 102,477, 141,394.08 and 62,189.76

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Solution

The fourth proportional to 102,477, 141,394.08 and 62,189.76 is: 85,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,477 : 141,394.08 = 62,189.76 : x
  2. Step 2: Convert to fraction form
    102,477/141,394.08 = 62,189.76/x
  3. Step 3: Cross multiply
    102,477x = 141,394.08 × 62,189.76
  4. Step 4: Simplify right side
    102,477x = 8,793,263,900.62
  5. Step 5: Solve for x
    x = 8,793,263,900.62/102,477
  6. Step 6: Final answer
    x = 85,807.19

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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.