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Finding the Fourth Proportional to 98,602.30, 147,903.45 and 81,981.10

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Solution

The fourth proportional to 98,602.30, 147,903.45 and 81,981.10 is: 122,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,602.30 : 147,903.45 = 81,981.10 : x
  2. Step 2: Convert to fraction form
    98,602.30/147,903.45 = 81,981.10/x
  3. Step 3: Cross multiply
    98,602.30x = 147,903.45 × 81,981.10
  4. Step 4: Simplify right side
    98,602.30x = 12,125,287,524.80
  5. Step 5: Solve for x
    x = 12,125,287,524.80/98,602.30
  6. Step 6: Final answer
    x = 122,971.65

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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.