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Finding the Fourth Proportional to 76,119.53, 105,046.26 and 42,130.82

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Solution

The fourth proportional to 76,119.53, 105,046.26 and 42,130.82 is: 58,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,119.53 : 105,046.26 = 42,130.82 : x
  2. Step 2: Convert to fraction form
    76,119.53/105,046.26 = 42,130.82/x
  3. Step 3: Cross multiply
    76,119.53x = 105,046.26 × 42,130.82
  4. Step 4: Simplify right side
    76,119.53x = 4,425,684,546.50
  5. Step 5: Solve for x
    x = 4,425,684,546.50/76,119.53
  6. Step 6: Final answer
    x = 58,141.25

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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.