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Finding the Fourth Proportional to 82,004.40, 122,929.80 and 64,225.20

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Solution

The fourth proportional to 82,004.40, 122,929.80 and 64,225.20 is: 96,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,004.40 : 122,929.80 = 64,225.20 : x
  2. Step 2: Convert to fraction form
    82,004.40/122,929.80 = 64,225.20/x
  3. Step 3: Cross multiply
    82,004.40x = 122,929.80 × 64,225.20
  4. Step 4: Simplify right side
    82,004.40x = 7,895,190,990.96
  5. Step 5: Solve for x
    x = 7,895,190,990.96/82,004.40
  6. Step 6: Final answer
    x = 96,277.65

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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.