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Finding the Fourth Proportional to 205,042.40, 307,534.80 and 64,815.20

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Solution

The fourth proportional to 205,042.40, 307,534.80 and 64,815.20 is: 97,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,042.40 : 307,534.80 = 64,815.20 : x
  2. Step 2: Convert to fraction form
    205,042.40/307,534.80 = 64,815.20/x
  3. Step 3: Cross multiply
    205,042.40x = 307,534.80 × 64,815.20
  4. Step 4: Simplify right side
    205,042.40x = 19,932,929,568.96
  5. Step 5: Solve for x
    x = 19,932,929,568.96/205,042.40
  6. Step 6: Final answer
    x = 97,213.70

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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.