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Finding the Fourth Proportional to 145,142.68, 200,295.14 and 81,478.84

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Solution

The fourth proportional to 145,142.68, 200,295.14 and 81,478.84 is: 112,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,142.68 : 200,295.14 = 81,478.84 : x
  2. Step 2: Convert to fraction form
    145,142.68/200,295.14 = 81,478.84/x
  3. Step 3: Cross multiply
    145,142.68x = 200,295.14 × 81,478.84
  4. Step 4: Simplify right side
    145,142.68x = 16,319,815,664.84
  5. Step 5: Solve for x
    x = 16,319,815,664.84/145,142.68
  6. Step 6: Final answer
    x = 112,439.81

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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.