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Finding the Fourth Proportional to 205,178.67, 283,264.29 and 156,397.64

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Solution

The fourth proportional to 205,178.67, 283,264.29 and 156,397.64 is: 215,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,178.67 : 283,264.29 = 156,397.64 : x
  2. Step 2: Convert to fraction form
    205,178.67/283,264.29 = 156,397.64/x
  3. Step 3: Cross multiply
    205,178.67x = 283,264.29 × 156,397.64
  4. Step 4: Simplify right side
    205,178.67x = 44,301,865,035.95
  5. Step 5: Solve for x
    x = 44,301,865,035.95/205,178.67
  6. Step 6: Final answer
    x = 215,918.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.