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Finding the Fourth Proportional to 205,207.40, 307,811.10 and 57,463.40

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Solution

The fourth proportional to 205,207.40, 307,811.10 and 57,463.40 is: 86,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,207.40 : 307,811.10 = 57,463.40 : x
  2. Step 2: Convert to fraction form
    205,207.40/307,811.10 = 57,463.40/x
  3. Step 3: Cross multiply
    205,207.40x = 307,811.10 × 57,463.40
  4. Step 4: Simplify right side
    205,207.40x = 17,687,872,363.74
  5. Step 5: Solve for x
    x = 17,687,872,363.74/205,207.40
  6. Step 6: Final answer
    x = 86,195.10

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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.