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Finding the Fourth Proportional to 132,978.54, 183,527.45 and 76,400.86

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Solution

The fourth proportional to 132,978.54, 183,527.45 and 76,400.86 is: 105,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,978.54 : 183,527.45 = 76,400.86 : x
  2. Step 2: Convert to fraction form
    132,978.54/183,527.45 = 76,400.86/x
  3. Step 3: Cross multiply
    132,978.54x = 183,527.45 × 76,400.86
  4. Step 4: Simplify right side
    132,978.54x = 14,021,655,013.61
  5. Step 5: Solve for x
    x = 14,021,655,013.61/132,978.54
  6. Step 6: Final answer
    x = 105,442.99

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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.