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Finding the Fourth Proportional to 102,801.30, 154,201.95 and 98,864.70

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Solution

The fourth proportional to 102,801.30, 154,201.95 and 98,864.70 is: 148,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,801.30 : 154,201.95 = 98,864.70 : x
  2. Step 2: Convert to fraction form
    102,801.30/154,201.95 = 98,864.70/x
  3. Step 3: Cross multiply
    102,801.30x = 154,201.95 × 98,864.70
  4. Step 4: Simplify right side
    102,801.30x = 15,245,129,526.17
  5. Step 5: Solve for x
    x = 15,245,129,526.17/102,801.30
  6. Step 6: Final answer
    x = 148,297.05

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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.