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Finding the Fourth Proportional to 97,689.60, 146,188.80 and 89,395.20

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Solution

The fourth proportional to 97,689.60, 146,188.80 and 89,395.20 is: 133,776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,689.60 : 146,188.80 = 89,395.20 : x
  2. Step 2: Convert to fraction form
    97,689.60/146,188.80 = 89,395.20/x
  3. Step 3: Cross multiply
    97,689.60x = 146,188.80 × 89,395.20
  4. Step 4: Simplify right side
    97,689.60x = 13,068,577,013.76
  5. Step 5: Solve for x
    x = 13,068,577,013.76/97,689.60
  6. Step 6: Final answer
    x = 133,776.54

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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.