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Finding the Fourth Proportional to 86,334.86, 129,502.30 and 81,461.90

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Solution

The fourth proportional to 86,334.86, 129,502.30 and 81,461.90 is: 122,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,334.86 : 129,502.30 = 81,461.90 : x
  2. Step 2: Convert to fraction form
    86,334.86/129,502.30 = 81,461.90/x
  3. Step 3: Cross multiply
    86,334.86x = 129,502.30 × 81,461.90
  4. Step 4: Simplify right side
    86,334.86x = 10,549,503,412.37
  5. Step 5: Solve for x
    x = 10,549,503,412.37/86,334.86
  6. Step 6: Final answer
    x = 122,192.86

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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.