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Finding the Fourth Proportional to 94,541.40, 142,023.30 and 78,989.40

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Solution

The fourth proportional to 94,541.40, 142,023.30 and 78,989.40 is: 118,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,541.40 : 142,023.30 = 78,989.40 : x
  2. Step 2: Convert to fraction form
    94,541.40/142,023.30 = 78,989.40/x
  3. Step 3: Cross multiply
    94,541.40x = 142,023.30 × 78,989.40
  4. Step 4: Simplify right side
    94,541.40x = 11,218,335,253.02
  5. Step 5: Solve for x
    x = 11,218,335,253.02/94,541.40
  6. Step 6: Final answer
    x = 118,660.56

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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.