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Finding the Fourth Proportional to 42,030.72, 63,046.08 and 14,328

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Solution

The fourth proportional to 42,030.72, 63,046.08 and 14,328 is: 21,492

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,030.72 : 63,046.08 = 14,328 : x
  2. Step 2: Convert to fraction form
    42,030.72/63,046.08 = 14,328/x
  3. Step 3: Cross multiply
    42,030.72x = 63,046.08 × 14,328
  4. Step 4: Simplify right side
    42,030.72x = 903,324,234.24
  5. Step 5: Solve for x
    x = 903,324,234.24/42,030.72
  6. Step 6: Final answer
    x = 21,492

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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.