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Finding the Fourth Proportional to 42,401, 63,630.66 and 14,699

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Solution

The fourth proportional to 42,401, 63,630.66 and 14,699 is: 22,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,401 : 63,630.66 = 14,699 : x
  2. Step 2: Convert to fraction form
    42,401/63,630.66 = 14,699/x
  3. Step 3: Cross multiply
    42,401x = 63,630.66 × 14,699
  4. Step 4: Simplify right side
    42,401x = 935,307,071.34
  5. Step 5: Solve for x
    x = 935,307,071.34/42,401
  6. Step 6: Final answer
    x = 22,058.61

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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.