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Finding the Fourth Proportional to 76,525, 105,614.40 and 42,991

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Solution

The fourth proportional to 76,525, 105,614.40 and 42,991 is: 59,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,525 : 105,614.40 = 42,991 : x
  2. Step 2: Convert to fraction form
    76,525/105,614.40 = 42,991/x
  3. Step 3: Cross multiply
    76,525x = 105,614.40 × 42,991
  4. Step 4: Simplify right side
    76,525x = 4,540,468,670.40
  5. Step 5: Solve for x
    x = 4,540,468,670.40/76,525
  6. Step 6: Final answer
    x = 59,333.14

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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.