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Finding the Fourth Proportional to 42,409.80, 63,658.86 and 31,329

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Solution

The fourth proportional to 42,409.80, 63,658.86 and 31,329 is: 47,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409.80 : 63,658.86 = 31,329 : x
  2. Step 2: Convert to fraction form
    42,409.80/63,658.86 = 31,329/x
  3. Step 3: Cross multiply
    42,409.80x = 63,658.86 × 31,329
  4. Step 4: Simplify right side
    42,409.80x = 1,994,368,424.94
  5. Step 5: Solve for x
    x = 1,994,368,424.94/42,409.80
  6. Step 6: Final answer
    x = 47,026.12

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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.