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Finding the Fourth Proportional to 178,543.68, 267,885.24 and 78,633.66

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Solution

The fourth proportional to 178,543.68, 267,885.24 and 78,633.66 is: 117,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,543.68 : 267,885.24 = 78,633.66 : x
  2. Step 2: Convert to fraction form
    178,543.68/267,885.24 = 78,633.66/x
  3. Step 3: Cross multiply
    178,543.68x = 267,885.24 × 78,633.66
  4. Step 4: Simplify right side
    178,543.68x = 21,064,796,881.18
  5. Step 5: Solve for x
    x = 21,064,796,881.18/178,543.68
  6. Step 6: Final answer
    x = 117,981.20

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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.