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Finding the Fourth Proportional to 76,432, 105,476.16 and 42,898

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Solution

The fourth proportional to 76,432, 105,476.16 and 42,898 is: 59,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432 : 105,476.16 = 42,898 : x
  2. Step 2: Convert to fraction form
    76,432/105,476.16 = 42,898/x
  3. Step 3: Cross multiply
    76,432x = 105,476.16 × 42,898
  4. Step 4: Simplify right side
    76,432x = 4,524,716,311.68
  5. Step 5: Solve for x
    x = 4,524,716,311.68/76,432
  6. Step 6: Final answer
    x = 59,199.24

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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.