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Finding the Fourth Proportional to 102,513.80, 153,770.70 and 98,577.20

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Solution

The fourth proportional to 102,513.80, 153,770.70 and 98,577.20 is: 147,865.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,513.80 : 153,770.70 = 98,577.20 : x
  2. Step 2: Convert to fraction form
    102,513.80/153,770.70 = 98,577.20/x
  3. Step 3: Cross multiply
    102,513.80x = 153,770.70 × 98,577.20
  4. Step 4: Simplify right side
    102,513.80x = 15,158,285,048.04
  5. Step 5: Solve for x
    x = 15,158,285,048.04/102,513.80
  6. Step 6: Final answer
    x = 147,865.80

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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.