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Finding the Fourth Proportional to 76,678.40, 115,060.80 and 29,925.20

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Solution

The fourth proportional to 76,678.40, 115,060.80 and 29,925.20 is: 44,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,678.40 : 115,060.80 = 29,925.20 : x
  2. Step 2: Convert to fraction form
    76,678.40/115,060.80 = 29,925.20/x
  3. Step 3: Cross multiply
    76,678.40x = 115,060.80 × 29,925.20
  4. Step 4: Simplify right side
    76,678.40x = 3,443,217,452.16
  5. Step 5: Solve for x
    x = 3,443,217,452.16/76,678.40
  6. Step 6: Final answer
    x = 44,904.66

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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.