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Finding the Fourth Proportional to 267,741.61, 401,649.99 and 78,215.89

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Solution

The fourth proportional to 267,741.61, 401,649.99 and 78,215.89 is: 117,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,741.61 : 401,649.99 = 78,215.89 : x
  2. Step 2: Convert to fraction form
    267,741.61/401,649.99 = 78,215.89/x
  3. Step 3: Cross multiply
    267,741.61x = 401,649.99 × 78,215.89
  4. Step 4: Simplify right side
    267,741.61x = 31,415,411,436.34
  5. Step 5: Solve for x
    x = 31,415,411,436.34/267,741.61
  6. Step 6: Final answer
    x = 117,334.81

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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.