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Finding the Fourth Proportional to 75,168.83, 103,734.66 and 42,902.80

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Solution

The fourth proportional to 75,168.83, 103,734.66 and 42,902.80 is: 59,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,168.83 : 103,734.66 = 42,902.80 : x
  2. Step 2: Convert to fraction form
    75,168.83/103,734.66 = 42,902.80/x
  3. Step 3: Cross multiply
    75,168.83x = 103,734.66 × 42,902.80
  4. Step 4: Simplify right side
    75,168.83x = 4,450,507,031.27
  5. Step 5: Solve for x
    x = 4,450,507,031.27/75,168.83
  6. Step 6: Final answer
    x = 59,206.82

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1.5x scale

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.