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Finding the Fourth Proportional to 98,689.80, 148,034.70 and 81,409.80

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Solution

The fourth proportional to 98,689.80, 148,034.70 and 81,409.80 is: 122,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689.80 : 148,034.70 = 81,409.80 : x
  2. Step 2: Convert to fraction form
    98,689.80/148,034.70 = 81,409.80/x
  3. Step 3: Cross multiply
    98,689.80x = 148,034.70 × 81,409.80
  4. Step 4: Simplify right side
    98,689.80x = 12,051,475,320.06
  5. Step 5: Solve for x
    x = 12,051,475,320.06/98,689.80
  6. Step 6: Final answer
    x = 122,114.70

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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.