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Finding the Fourth Proportional to 268,492, 402,776.88 and 81,503.68

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Solution

The fourth proportional to 268,492, 402,776.88 and 81,503.68 is: 122,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,492 : 402,776.88 = 81,503.68 : x
  2. Step 2: Convert to fraction form
    268,492/402,776.88 = 81,503.68/x
  3. Step 3: Cross multiply
    268,492x = 402,776.88 × 81,503.68
  4. Step 4: Simplify right side
    268,492x = 32,827,797,938.92
  5. Step 5: Solve for x
    x = 32,827,797,938.92/268,492
  6. Step 6: Final answer
    x = 122,267.32

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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.