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Finding the Fourth Proportional to 82,002.40, 122,926.80 and 64,223.20

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Solution

The fourth proportional to 82,002.40, 122,926.80 and 64,223.20 is: 96,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.40 : 122,926.80 = 64,223.20 : x
  2. Step 2: Convert to fraction form
    82,002.40/122,926.80 = 64,223.20/x
  3. Step 3: Cross multiply
    82,002.40x = 122,926.80 × 64,223.20
  4. Step 4: Simplify right side
    82,002.40x = 7,894,752,461.76
  5. Step 5: Solve for x
    x = 7,894,752,461.76/82,002.40
  6. Step 6: Final answer
    x = 96,274.65

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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.