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Finding the Fourth Proportional to 149,129.04, 205,798 and 82,061.04

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Solution

The fourth proportional to 149,129.04, 205,798 and 82,061.04 is: 113,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.04 : 205,798 = 82,061.04 : x
  2. Step 2: Convert to fraction form
    149,129.04/205,798 = 82,061.04/x
  3. Step 3: Cross multiply
    149,129.04x = 205,798 × 82,061.04
  4. Step 4: Simplify right side
    149,129.04x = 16,887,997,909.92
  5. Step 5: Solve for x
    x = 16,887,997,909.92/149,129.04
  6. Step 6: Final answer
    x = 113,244.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.