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Finding the Fourth Proportional to 76,778, 115,182.93 and 32,405.12

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Solution

The fourth proportional to 76,778, 115,182.93 and 32,405.12 is: 48,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,778 : 115,182.93 = 32,405.12 : x
  2. Step 2: Convert to fraction form
    76,778/115,182.93 = 32,405.12/x
  3. Step 3: Cross multiply
    76,778x = 115,182.93 × 32,405.12
  4. Step 4: Simplify right side
    76,778x = 3,732,516,668.60
  5. Step 5: Solve for x
    x = 3,732,516,668.60/76,778
  6. Step 6: Final answer
    x = 48,614.40

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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.