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Finding the Fourth Proportional to 134,874, 202,320.72 and 51,768

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Solution

The fourth proportional to 134,874, 202,320.72 and 51,768 is: 77,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,874 : 202,320.72 = 51,768 : x
  2. Step 2: Convert to fraction form
    134,874/202,320.72 = 51,768/x
  3. Step 3: Cross multiply
    134,874x = 202,320.72 × 51,768
  4. Step 4: Simplify right side
    134,874x = 10,473,739,032.96
  5. Step 5: Solve for x
    x = 10,473,739,032.96/134,874
  6. Step 6: Final answer
    x = 77,655.73

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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.