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Finding the Fourth Proportional to 76,222.70, 105,185.97 and 42,230.51

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Solution

The fourth proportional to 76,222.70, 105,185.97 and 42,230.51 is: 58,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,222.70 : 105,185.97 = 42,230.51 : x
  2. Step 2: Convert to fraction form
    76,222.70/105,185.97 = 42,230.51/x
  3. Step 3: Cross multiply
    76,222.70x = 105,185.97 × 42,230.51
  4. Step 4: Simplify right side
    76,222.70x = 4,442,057,420.91
  5. Step 5: Solve for x
    x = 4,442,057,420.91/76,222.70
  6. Step 6: Final answer
    x = 58,277.35

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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.