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Finding the Fourth Proportional to 132,378.60, 182,653.50 and 78,681.48

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Solution

The fourth proportional to 132,378.60, 182,653.50 and 78,681.48 is: 108,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,378.60 : 182,653.50 = 78,681.48 : x
  2. Step 2: Convert to fraction form
    132,378.60/182,653.50 = 78,681.48/x
  3. Step 3: Cross multiply
    132,378.60x = 182,653.50 × 78,681.48
  4. Step 4: Simplify right side
    132,378.60x = 14,371,447,707.18
  5. Step 5: Solve for x
    x = 14,371,447,707.18/132,378.60
  6. Step 6: Final answer
    x = 108,563.22

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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.