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Finding the Fourth Proportional to 81,378.40, 121,970.40 and 41,915.20

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Solution

The fourth proportional to 81,378.40, 121,970.40 and 41,915.20 is: 62,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,378.40 : 121,970.40 = 41,915.20 : x
  2. Step 2: Convert to fraction form
    81,378.40/121,970.40 = 41,915.20/x
  3. Step 3: Cross multiply
    81,378.40x = 121,970.40 × 41,915.20
  4. Step 4: Simplify right side
    81,378.40x = 5,112,413,710.08
  5. Step 5: Solve for x
    x = 5,112,413,710.08/81,378.40
  6. Step 6: Final answer
    x = 62,822.74

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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.