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Finding the Fourth Proportional to 105,117.80, 157,676.70 and 42,756.20

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Solution

The fourth proportional to 105,117.80, 157,676.70 and 42,756.20 is: 64,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,117.80 : 157,676.70 = 42,756.20 : x
  2. Step 2: Convert to fraction form
    105,117.80/157,676.70 = 42,756.20/x
  3. Step 3: Cross multiply
    105,117.80x = 157,676.70 × 42,756.20
  4. Step 4: Simplify right side
    105,117.80x = 6,741,656,520.54
  5. Step 5: Solve for x
    x = 6,741,656,520.54/105,117.80
  6. Step 6: Final answer
    x = 64,134.30

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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.