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Finding the Fourth Proportional to 98,947.60, 148,421.40 and 86,659.60

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Solution

The fourth proportional to 98,947.60, 148,421.40 and 86,659.60 is: 129,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,947.60 : 148,421.40 = 86,659.60 : x
  2. Step 2: Convert to fraction form
    98,947.60/148,421.40 = 86,659.60/x
  3. Step 3: Cross multiply
    98,947.60x = 148,421.40 × 86,659.60
  4. Step 4: Simplify right side
    98,947.60x = 12,862,139,155.44
  5. Step 5: Solve for x
    x = 12,862,139,155.44/98,947.60
  6. Step 6: Final answer
    x = 129,989.40

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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.