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Finding the Fourth Proportional to 98,731.60, 148,097.40 and 28,613.20

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Solution

The fourth proportional to 98,731.60, 148,097.40 and 28,613.20 is: 42,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,731.60 : 148,097.40 = 28,613.20 : x
  2. Step 2: Convert to fraction form
    98,731.60/148,097.40 = 28,613.20/x
  3. Step 3: Cross multiply
    98,731.60x = 148,097.40 × 28,613.20
  4. Step 4: Simplify right side
    98,731.60x = 4,237,540,525.68
  5. Step 5: Solve for x
    x = 4,237,540,525.68/98,731.60
  6. Step 6: Final answer
    x = 42,919.80

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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.