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Finding the Fourth Proportional to 98,894.40, 148,687.20 and 96,820.80

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Solution

The fourth proportional to 98,894.40, 148,687.20 and 96,820.80 is: 145,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,894.40 : 148,687.20 = 96,820.80 : x
  2. Step 2: Convert to fraction form
    98,894.40/148,687.20 = 96,820.80/x
  3. Step 3: Cross multiply
    98,894.40x = 148,687.20 × 96,820.80
  4. Step 4: Simplify right side
    98,894.40x = 14,396,013,653.76
  5. Step 5: Solve for x
    x = 14,396,013,653.76/98,894.40
  6. Step 6: Final answer
    x = 145,569.55

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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.