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Finding the Fourth Proportional to 105,546.72, 145,649.76 and 63,128.64

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Solution

The fourth proportional to 105,546.72, 145,649.76 and 63,128.64 is: 87,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,546.72 : 145,649.76 = 63,128.64 : x
  2. Step 2: Convert to fraction form
    105,546.72/145,649.76 = 63,128.64/x
  3. Step 3: Cross multiply
    105,546.72x = 145,649.76 × 63,128.64
  4. Step 4: Simplify right side
    105,546.72x = 9,194,671,265.13
  5. Step 5: Solve for x
    x = 9,194,671,265.13/105,546.72
  6. Step 6: Final answer
    x = 87,114.70

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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.