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Finding the Fourth Proportional to 145,755.40, 218,633.10 and 83,382.16

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Solution

The fourth proportional to 145,755.40, 218,633.10 and 83,382.16 is: 125,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,755.40 : 218,633.10 = 83,382.16 : x
  2. Step 2: Convert to fraction form
    145,755.40/218,633.10 = 83,382.16/x
  3. Step 3: Cross multiply
    145,755.40x = 218,633.10 × 83,382.16
  4. Step 4: Simplify right side
    145,755.40x = 18,230,100,125.50
  5. Step 5: Solve for x
    x = 18,230,100,125.50/145,755.40
  6. Step 6: Final answer
    x = 125,073.24

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1.5x scale

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.