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Finding the Fourth Proportional to 99,574.86, 137,412.54 and 54,252.71

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Solution

The fourth proportional to 99,574.86, 137,412.54 and 54,252.71 is: 74,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,574.86 : 137,412.54 = 54,252.71 : x
  2. Step 2: Convert to fraction form
    99,574.86/137,412.54 = 54,252.71/x
  3. Step 3: Cross multiply
    99,574.86x = 137,412.54 × 54,252.71
  4. Step 4: Simplify right side
    99,574.86x = 7,455,002,682.98
  5. Step 5: Solve for x
    x = 7,455,002,682.98/99,574.86
  6. Step 6: Final answer
    x = 74,868.32

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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.