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Finding the Fourth Proportional to 76,431, 105,474.78 and 42,897

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Solution

The fourth proportional to 76,431, 105,474.78 and 42,897 is: 59,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,431 : 105,474.78 = 42,897 : x
  2. Step 2: Convert to fraction form
    76,431/105,474.78 = 42,897/x
  3. Step 3: Cross multiply
    76,431x = 105,474.78 × 42,897
  4. Step 4: Simplify right side
    76,431x = 4,524,551,637.66
  5. Step 5: Solve for x
    x = 4,524,551,637.66/76,431
  6. Step 6: Final answer
    x = 59,197.86

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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.