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Finding the Fourth Proportional to 65,666.50, 98,414.09 and 30,114.99

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Solution

The fourth proportional to 65,666.50, 98,414.09 and 30,114.99 is: 45,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,666.50 : 98,414.09 = 30,114.99 : x
  2. Step 2: Convert to fraction form
    65,666.50/98,414.09 = 30,114.99/x
  3. Step 3: Cross multiply
    65,666.50x = 98,414.09 × 30,114.99
  4. Step 4: Simplify right side
    65,666.50x = 2,963,739,298.57
  5. Step 5: Solve for x
    x = 2,963,739,298.57/65,666.50
  6. Step 6: Final answer
    x = 45,133.20

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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.