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Finding the Fourth Proportional to 102,679.80, 154,019.70 and 98,743.20

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Solution

The fourth proportional to 102,679.80, 154,019.70 and 98,743.20 is: 148,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,679.80 : 154,019.70 = 98,743.20 : x
  2. Step 2: Convert to fraction form
    102,679.80/154,019.70 = 98,743.20/x
  3. Step 3: Cross multiply
    102,679.80x = 154,019.70 × 98,743.20
  4. Step 4: Simplify right side
    102,679.80x = 15,208,398,041.04
  5. Step 5: Solve for x
    x = 15,208,398,041.04/102,679.80
  6. Step 6: Final answer
    x = 148,114.80

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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.