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Finding the Fourth Proportional to 267,737.61, 401,643.99 and 78,211.89

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Solution

The fourth proportional to 267,737.61, 401,643.99 and 78,211.89 is: 117,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,737.61 : 401,643.99 = 78,211.89 : x
  2. Step 2: Convert to fraction form
    267,737.61/401,643.99 = 78,211.89/x
  3. Step 3: Cross multiply
    267,737.61x = 401,643.99 × 78,211.89
  4. Step 4: Simplify right side
    267,737.61x = 31,413,335,565.04
  5. Step 5: Solve for x
    x = 31,413,335,565.04/267,737.61
  6. Step 6: Final answer
    x = 117,328.81

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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.