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Finding the Fourth Proportional to 89,878, 124,031.64 and 50,134

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Solution

The fourth proportional to 89,878, 124,031.64 and 50,134 is: 69,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,878 : 124,031.64 = 50,134 : x
  2. Step 2: Convert to fraction form
    89,878/124,031.64 = 50,134/x
  3. Step 3: Cross multiply
    89,878x = 124,031.64 × 50,134
  4. Step 4: Simplify right side
    89,878x = 6,218,202,239.76
  5. Step 5: Solve for x
    x = 6,218,202,239.76/89,878
  6. Step 6: Final answer
    x = 69,184.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.