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Finding the Fourth Proportional to 268,658.89, 402,973.76 and 81,655.81

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Solution

The fourth proportional to 268,658.89, 402,973.76 and 81,655.81 is: 122,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,658.89 : 402,973.76 = 81,655.81 : x
  2. Step 2: Convert to fraction form
    268,658.89/402,973.76 = 81,655.81/x
  3. Step 3: Cross multiply
    268,658.89x = 402,973.76 × 81,655.81
  4. Step 4: Simplify right side
    268,658.89x = 32,905,148,781.55
  5. Step 5: Solve for x
    x = 32,905,148,781.55/268,658.89
  6. Step 6: Final answer
    x = 122,479.29

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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.