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Finding the Fourth Proportional to 145,124.64, 200,270.34 and 81,460.80

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Solution

The fourth proportional to 145,124.64, 200,270.34 and 81,460.80 is: 112,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,124.64 : 200,270.34 = 81,460.80 : x
  2. Step 2: Convert to fraction form
    145,124.64/200,270.34 = 81,460.80/x
  3. Step 3: Cross multiply
    145,124.64x = 200,270.34 × 81,460.80
  4. Step 4: Simplify right side
    145,124.64x = 16,314,182,112.67
  5. Step 5: Solve for x
    x = 16,314,182,112.67/145,124.64
  6. Step 6: Final answer
    x = 112,414.97

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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.