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Finding the Fourth Proportional to 205,207.80, 307,244.90 and 105,152.56

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Solution

The fourth proportional to 205,207.80, 307,244.90 and 105,152.56 is: 157,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,207.80 : 307,244.90 = 105,152.56 : x
  2. Step 2: Convert to fraction form
    205,207.80/307,244.90 = 105,152.56/x
  3. Step 3: Cross multiply
    205,207.80x = 307,244.90 × 105,152.56
  4. Step 4: Simplify right side
    205,207.80x = 32,307,587,781.94
  5. Step 5: Solve for x
    x = 32,307,587,781.94/205,207.80
  6. Step 6: Final answer
    x = 157,438.40

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1.5x scale

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.