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Finding the Fourth Proportional to 42,107.68, 63,168 and 14,018.10

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Solution

The fourth proportional to 42,107.68, 63,168 and 14,018.10 is: 21,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,107.68 : 63,168 = 14,018.10 : x
  2. Step 2: Convert to fraction form
    42,107.68/63,168 = 14,018.10/x
  3. Step 3: Cross multiply
    42,107.68x = 63,168 × 14,018.10
  4. Step 4: Simplify right side
    42,107.68x = 885,495,340.80
  5. Step 5: Solve for x
    x = 885,495,340.80/42,107.68
  6. Step 6: Final answer
    x = 21,029.31

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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.