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Finding the Fourth Proportional to 76,850.68, 106,053.72 and 42,859.20

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Solution

The fourth proportional to 76,850.68, 106,053.72 and 42,859.20 is: 59,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,850.68 : 106,053.72 = 42,859.20 : x
  2. Step 2: Convert to fraction form
    76,850.68/106,053.72 = 42,859.20/x
  3. Step 3: Cross multiply
    76,850.68x = 106,053.72 × 42,859.20
  4. Step 4: Simplify right side
    76,850.68x = 4,545,377,596.22
  5. Step 5: Solve for x
    x = 4,545,377,596.22/76,850.68
  6. Step 6: Final answer
    x = 59,145.57

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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.