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Finding the Fourth Proportional to 268,461, 402,693.93 and 81,472.50

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Solution

The fourth proportional to 268,461, 402,693.93 and 81,472.50 is: 122,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,461 : 402,693.93 = 81,472.50 : x
  2. Step 2: Convert to fraction form
    268,461/402,693.93 = 81,472.50/x
  3. Step 3: Cross multiply
    268,461x = 402,693.93 × 81,472.50
  4. Step 4: Simplify right side
    268,461x = 32,808,481,211.93
  5. Step 5: Solve for x
    x = 32,808,481,211.93/268,461
  6. Step 6: Final answer
    x = 122,209.49

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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.