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Finding the Fourth Proportional to 77,117.70, 115,676.55 and 72,452.10

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Solution

The fourth proportional to 77,117.70, 115,676.55 and 72,452.10 is: 108,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,117.70 : 115,676.55 = 72,452.10 : x
  2. Step 2: Convert to fraction form
    77,117.70/115,676.55 = 72,452.10/x
  3. Step 3: Cross multiply
    77,117.70x = 115,676.55 × 72,452.10
  4. Step 4: Simplify right side
    77,117.70x = 8,381,008,968.26
  5. Step 5: Solve for x
    x = 8,381,008,968.26/77,117.70
  6. Step 6: Final answer
    x = 108,678.15

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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.