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Finding the Fourth Proportional to 97,720.30, 146,580.45 and 86,046.70

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Solution

The fourth proportional to 97,720.30, 146,580.45 and 86,046.70 is: 129,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,720.30 : 146,580.45 = 86,046.70 : x
  2. Step 2: Convert to fraction form
    97,720.30/146,580.45 = 86,046.70/x
  3. Step 3: Cross multiply
    97,720.30x = 146,580.45 × 86,046.70
  4. Step 4: Simplify right side
    97,720.30x = 12,612,764,007.02
  5. Step 5: Solve for x
    x = 12,612,764,007.02/97,720.30
  6. Step 6: Final answer
    x = 129,070.05

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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.