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Finding the Fourth Proportional to 47,671.99, 71,531.07 and 19,612.78

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Solution

The fourth proportional to 47,671.99, 71,531.07 and 19,612.78 is: 29,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,671.99 : 71,531.07 = 19,612.78 : x
  2. Step 2: Convert to fraction form
    47,671.99/71,531.07 = 19,612.78/x
  3. Step 3: Cross multiply
    47,671.99x = 71,531.07 × 19,612.78
  4. Step 4: Simplify right side
    47,671.99x = 1,402,922,683.36
  5. Step 5: Solve for x
    x = 1,402,922,683.36/47,671.99
  6. Step 6: Final answer
    x = 29,428.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.