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Finding the Fourth Proportional to 76,438.48, 105,479.32 and 42,898

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Solution

The fourth proportional to 76,438.48, 105,479.32 and 42,898 is: 59,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438.48 : 105,479.32 = 42,898 : x
  2. Step 2: Convert to fraction form
    76,438.48/105,479.32 = 42,898/x
  3. Step 3: Cross multiply
    76,438.48x = 105,479.32 × 42,898
  4. Step 4: Simplify right side
    76,438.48x = 4,524,851,869.36
  5. Step 5: Solve for x
    x = 4,524,851,869.36/76,438.48
  6. Step 6: Final answer
    x = 59,195.99

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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.