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Finding the Fourth Proportional to 89,074.48, 122,943 and 55,534

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Solution

The fourth proportional to 89,074.48, 122,943 and 55,534 is: 76,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,074.48 : 122,943 = 55,534 : x
  2. Step 2: Convert to fraction form
    89,074.48/122,943 = 55,534/x
  3. Step 3: Cross multiply
    89,074.48x = 122,943 × 55,534
  4. Step 4: Simplify right side
    89,074.48x = 6,827,516,562
  5. Step 5: Solve for x
    x = 6,827,516,562/89,074.48
  6. Step 6: Final answer
    x = 76,649.52

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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.