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Finding the Fourth Proportional to 145,283.68, 200,480.70 and 81,632.08

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Solution

The fourth proportional to 145,283.68, 200,480.70 and 81,632.08 is: 112,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,283.68 : 200,480.70 = 81,632.08 : x
  2. Step 2: Convert to fraction form
    145,283.68/200,480.70 = 81,632.08/x
  3. Step 3: Cross multiply
    145,283.68x = 200,480.70 × 81,632.08
  4. Step 4: Simplify right side
    145,283.68x = 16,365,656,540.86
  5. Step 5: Solve for x
    x = 16,365,656,540.86/145,283.68
  6. Step 6: Final answer
    x = 112,646.21

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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.