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Finding the Fourth Proportional to 97,120, 145,680.05 and 26,999.92

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Solution

The fourth proportional to 97,120, 145,680.05 and 26,999.92 is: 40,499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,120 : 145,680.05 = 26,999.92 : x
  2. Step 2: Convert to fraction form
    97,120/145,680.05 = 26,999.92/x
  3. Step 3: Cross multiply
    97,120x = 145,680.05 × 26,999.92
  4. Step 4: Simplify right side
    97,120x = 3,933,349,695.60
  5. Step 5: Solve for x
    x = 3,933,349,695.60/97,120
  6. Step 6: Final answer
    x = 40,499.89

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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.