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Finding the Fourth Proportional to 76,254.59, 105,226.17 and 42,259.89

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Solution

The fourth proportional to 76,254.59, 105,226.17 and 42,259.89 is: 58,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,254.59 : 105,226.17 = 42,259.89 : x
  2. Step 2: Convert to fraction form
    76,254.59/105,226.17 = 42,259.89/x
  3. Step 3: Cross multiply
    76,254.59x = 105,226.17 × 42,259.89
  4. Step 4: Simplify right side
    76,254.59x = 4,446,846,369.32
  5. Step 5: Solve for x
    x = 4,446,846,369.32/76,254.59
  6. Step 6: Final answer
    x = 58,315.79

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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.