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Finding the Fourth Proportional to 42,145.77, 63,249.77 and 19,959.11

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Solution

The fourth proportional to 42,145.77, 63,249.77 and 19,959.11 is: 29,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,145.77 : 63,249.77 = 19,959.11 : x
  2. Step 2: Convert to fraction form
    42,145.77/63,249.77 = 19,959.11/x
  3. Step 3: Cross multiply
    42,145.77x = 63,249.77 × 19,959.11
  4. Step 4: Simplify right side
    42,145.77x = 1,262,409,116.90
  5. Step 5: Solve for x
    x = 1,262,409,116.90/42,145.77
  6. Step 6: Final answer
    x = 29,953.40

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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.