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Finding the Fourth Proportional to 132,695.60, 183,135.05 and 78,980.78

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Solution

The fourth proportional to 132,695.60, 183,135.05 and 78,980.78 is: 109,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,695.60 : 183,135.05 = 78,980.78 : x
  2. Step 2: Convert to fraction form
    132,695.60/183,135.05 = 78,980.78/x
  3. Step 3: Cross multiply
    132,695.60x = 183,135.05 × 78,980.78
  4. Step 4: Simplify right side
    132,695.60x = 14,464,147,783.76
  5. Step 5: Solve for x
    x = 14,464,147,783.76/132,695.60
  6. Step 6: Final answer
    x = 109,002.47

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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.