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Finding the Fourth Proportional to 138,951.20, 191,751.84 and 78,541.40

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Solution

The fourth proportional to 138,951.20, 191,751.84 and 78,541.40 is: 108,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,951.20 : 191,751.84 = 78,541.40 : x
  2. Step 2: Convert to fraction form
    138,951.20/191,751.84 = 78,541.40/x
  3. Step 3: Cross multiply
    138,951.20x = 191,751.84 × 78,541.40
  4. Step 4: Simplify right side
    138,951.20x = 15,060,457,966.18
  5. Step 5: Solve for x
    x = 15,060,457,966.18/138,951.20
  6. Step 6: Final answer
    x = 108,386.67

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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.