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Finding the Fourth Proportional to 145,978.92, 201,505.50 and 113,649.48

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Solution

The fourth proportional to 145,978.92, 201,505.50 and 113,649.48 is: 156,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,978.92 : 201,505.50 = 113,649.48 : x
  2. Step 2: Convert to fraction form
    145,978.92/201,505.50 = 113,649.48/x
  3. Step 3: Cross multiply
    145,978.92x = 201,505.50 × 113,649.48
  4. Step 4: Simplify right side
    145,978.92x = 22,900,995,292.14
  5. Step 5: Solve for x
    x = 22,900,995,292.14/145,978.92
  6. Step 6: Final answer
    x = 156,878.78

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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.