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Finding the Fourth Proportional to 145,322.67, 200,543.52 and 81,671.25

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Solution

The fourth proportional to 145,322.67, 200,543.52 and 81,671.25 is: 112,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,322.67 : 200,543.52 = 81,671.25 : x
  2. Step 2: Convert to fraction form
    145,322.67/200,543.52 = 81,671.25/x
  3. Step 3: Cross multiply
    145,322.67x = 200,543.52 × 81,671.25
  4. Step 4: Simplify right side
    145,322.67x = 16,378,639,957.80
  5. Step 5: Solve for x
    x = 16,378,639,957.80/145,322.67
  6. Step 6: Final answer
    x = 112,705.33

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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.