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Finding the Fourth Proportional to 268,153.80, 402,284.70 and 78,613.80

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Solution

The fourth proportional to 268,153.80, 402,284.70 and 78,613.80 is: 117,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,153.80 : 402,284.70 = 78,613.80 : x
  2. Step 2: Convert to fraction form
    268,153.80/402,284.70 = 78,613.80/x
  3. Step 3: Cross multiply
    268,153.80x = 402,284.70 × 78,613.80
  4. Step 4: Simplify right side
    268,153.80x = 31,625,128,948.86
  5. Step 5: Solve for x
    x = 31,625,128,948.86/268,153.80
  6. Step 6: Final answer
    x = 117,936.53

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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.