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Finding the Fourth Proportional to 76,246.61, 105,218.75 and 42,254.83

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Solution

The fourth proportional to 76,246.61, 105,218.75 and 42,254.83 is: 58,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,246.61 : 105,218.75 = 42,254.83 : x
  2. Step 2: Convert to fraction form
    76,246.61/105,218.75 = 42,254.83/x
  3. Step 3: Cross multiply
    76,246.61x = 105,218.75 × 42,254.83
  4. Step 4: Simplify right side
    76,246.61x = 4,446,000,394.06
  5. Step 5: Solve for x
    x = 4,446,000,394.06/76,246.61
  6. Step 6: Final answer
    x = 58,310.79

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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.