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Finding the Fourth Proportional to 99.60, 148.80 and 86.04

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Solution

The fourth proportional to 99.60, 148.80 and 86.04 is: 128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.60 : 148.80 = 86.04 : x
  2. Step 2: Convert to fraction form
    99.60/148.80 = 86.04/x
  3. Step 3: Cross multiply
    99.60x = 148.80 × 86.04
  4. Step 4: Simplify right side
    99.60x = 12,802.75
  5. Step 5: Solve for x
    x = 12,802.75/99.60
  6. Step 6: Final answer
    x = 128.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.