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Finding the Fourth Proportional to 76,420.25, 105,469.67 and 42,886.25

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Solution

The fourth proportional to 76,420.25, 105,469.67 and 42,886.25 is: 59,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,420.25 : 105,469.67 = 42,886.25 : x
  2. Step 2: Convert to fraction form
    76,420.25/105,469.67 = 42,886.25/x
  3. Step 3: Cross multiply
    76,420.25x = 105,469.67 × 42,886.25
  4. Step 4: Simplify right side
    76,420.25x = 4,523,198,420.61
  5. Step 5: Solve for x
    x = 4,523,198,420.61/76,420.25
  6. Step 6: Final answer
    x = 59,188.48

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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.