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Finding the Fourth Proportional to 81,152.40, 121,728.60 and 51,409.20

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Solution

The fourth proportional to 81,152.40, 121,728.60 and 51,409.20 is: 77,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,152.40 : 121,728.60 = 51,409.20 : x
  2. Step 2: Convert to fraction form
    81,152.40/121,728.60 = 51,409.20/x
  3. Step 3: Cross multiply
    81,152.40x = 121,728.60 × 51,409.20
  4. Step 4: Simplify right side
    81,152.40x = 6,257,969,943.12
  5. Step 5: Solve for x
    x = 6,257,969,943.12/81,152.40
  6. Step 6: Final answer
    x = 77,113.80

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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.