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Finding the Fourth Proportional to 76,376.50, 105,395.10 and 42,382.53

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Solution

The fourth proportional to 76,376.50, 105,395.10 and 42,382.53 is: 58,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376.50 : 105,395.10 = 42,382.53 : x
  2. Step 2: Convert to fraction form
    76,376.50/105,395.10 = 42,382.53/x
  3. Step 3: Cross multiply
    76,376.50x = 105,395.10 × 42,382.53
  4. Step 4: Simplify right side
    76,376.50x = 4,466,910,987.60
  5. Step 5: Solve for x
    x = 4,466,910,987.60/76,376.50
  6. Step 6: Final answer
    x = 58,485.41

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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.