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Finding the Fourth Proportional to 42,013.76, 63,030.76 and 12,028.44

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Solution

The fourth proportional to 42,013.76, 63,030.76 and 12,028.44 is: 18,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,013.76 : 63,030.76 = 12,028.44 : x
  2. Step 2: Convert to fraction form
    42,013.76/63,030.76 = 12,028.44/x
  3. Step 3: Cross multiply
    42,013.76x = 63,030.76 × 12,028.44
  4. Step 4: Simplify right side
    42,013.76x = 758,161,714.81
  5. Step 5: Solve for x
    x = 758,161,714.81/42,013.76
  6. Step 6: Final answer
    x = 18,045.56

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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.