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Finding the Fourth Proportional to 89,865.76, 124,015.16 and 49,580

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Solution

The fourth proportional to 89,865.76, 124,015.16 and 49,580 is: 68,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,865.76 : 124,015.16 = 49,580 : x
  2. Step 2: Convert to fraction form
    89,865.76/124,015.16 = 49,580/x
  3. Step 3: Cross multiply
    89,865.76x = 124,015.16 × 49,580
  4. Step 4: Simplify right side
    89,865.76x = 6,148,671,632.80
  5. Step 5: Solve for x
    x = 6,148,671,632.80/89,865.76
  6. Step 6: Final answer
    x = 68,420.63

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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.