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Finding the Fourth Proportional to 98,599.80, 147,899.70 and 81,978.60

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Solution

The fourth proportional to 98,599.80, 147,899.70 and 81,978.60 is: 122,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,599.80 : 147,899.70 = 81,978.60 : x
  2. Step 2: Convert to fraction form
    98,599.80/147,899.70 = 81,978.60/x
  3. Step 3: Cross multiply
    98,599.80x = 147,899.70 × 81,978.60
  4. Step 4: Simplify right side
    98,599.80x = 12,124,610,346.42
  5. Step 5: Solve for x
    x = 12,124,610,346.42/98,599.80
  6. Step 6: Final answer
    x = 122,967.90

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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.