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Finding the Fourth Proportional to 81,889.52, 122,833.86 and 70,762.40

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Solution

The fourth proportional to 81,889.52, 122,833.86 and 70,762.40 is: 106,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,889.52 : 122,833.86 = 70,762.40 : x
  2. Step 2: Convert to fraction form
    81,889.52/122,833.86 = 70,762.40/x
  3. Step 3: Cross multiply
    81,889.52x = 122,833.86 × 70,762.40
  4. Step 4: Simplify right side
    81,889.52x = 8,692,018,734.86
  5. Step 5: Solve for x
    x = 8,692,018,734.86/81,889.52
  6. Step 6: Final answer
    x = 106,143.24

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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.