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Finding the Fourth Proportional to 205,061.70, 307,920.60 and 155,198.10

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Solution

The fourth proportional to 205,061.70, 307,920.60 and 155,198.10 is: 233,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,061.70 : 307,920.60 = 155,198.10 : x
  2. Step 2: Convert to fraction form
    205,061.70/307,920.60 = 155,198.10/x
  3. Step 3: Cross multiply
    205,061.70x = 307,920.60 × 155,198.10
  4. Step 4: Simplify right side
    205,061.70x = 47,788,692,070.86
  5. Step 5: Solve for x
    x = 47,788,692,070.86/205,061.70
  6. Step 6: Final answer
    x = 233,045.43

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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.