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Finding the Fourth Proportional to 268,416, 402,613.49 and 90,923.01

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Solution

The fourth proportional to 268,416, 402,613.49 and 90,923.01 is: 136,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,416 : 402,613.49 = 90,923.01 : x
  2. Step 2: Convert to fraction form
    268,416/402,613.49 = 90,923.01/x
  3. Step 3: Cross multiply
    268,416x = 402,613.49 × 90,923.01
  4. Step 4: Simplify right side
    268,416x = 36,606,830,377.40
  5. Step 5: Solve for x
    x = 36,606,830,377.40/268,416
  6. Step 6: Final answer
    x = 136,380.95

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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.