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Finding the Fourth Proportional to 76,422.75, 105,473.12 and 42,888.75

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Solution

The fourth proportional to 76,422.75, 105,473.12 and 42,888.75 is: 59,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.75 : 105,473.12 = 42,888.75 : x
  2. Step 2: Convert to fraction form
    76,422.75/105,473.12 = 42,888.75/x
  3. Step 3: Cross multiply
    76,422.75x = 105,473.12 × 42,888.75
  4. Step 4: Simplify right side
    76,422.75x = 4,523,610,060.96
  5. Step 5: Solve for x
    x = 4,523,610,060.96/76,422.75
  6. Step 6: Final answer
    x = 59,191.93

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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.