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Finding the Fourth Proportional to 91,444.48, 126,213.12 and 55,646

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Solution

The fourth proportional to 91,444.48, 126,213.12 and 55,646 is: 76,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,444.48 : 126,213.12 = 55,646 : x
  2. Step 2: Convert to fraction form
    91,444.48/126,213.12 = 55,646/x
  3. Step 3: Cross multiply
    91,444.48x = 126,213.12 × 55,646
  4. Step 4: Simplify right side
    91,444.48x = 7,023,255,275.52
  5. Step 5: Solve for x
    x = 7,023,255,275.52/91,444.48
  6. Step 6: Final answer
    x = 76,803.49

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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.