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Finding the Fourth Proportional to 97,376.68, 145,951.20 and 86,305

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Solution

The fourth proportional to 97,376.68, 145,951.20 and 86,305 is: 129,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,376.68 : 145,951.20 = 86,305 : x
  2. Step 2: Convert to fraction form
    97,376.68/145,951.20 = 86,305/x
  3. Step 3: Cross multiply
    97,376.68x = 145,951.20 × 86,305
  4. Step 4: Simplify right side
    97,376.68x = 12,596,318,316.00
  5. Step 5: Solve for x
    x = 12,596,318,316.00/97,376.68
  6. Step 6: Final answer
    x = 129,356.62

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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.