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Finding the Fourth Proportional to 121,652.80, 182,496.56 and 37,420

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Solution

The fourth proportional to 121,652.80, 182,496.56 and 37,420 is: 56,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,652.80 : 182,496.56 = 37,420 : x
  2. Step 2: Convert to fraction form
    121,652.80/182,496.56 = 37,420/x
  3. Step 3: Cross multiply
    121,652.80x = 182,496.56 × 37,420
  4. Step 4: Simplify right side
    121,652.80x = 6,829,021,275.20
  5. Step 5: Solve for x
    x = 6,829,021,275.20/121,652.80
  6. Step 6: Final answer
    x = 56,135.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.