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Finding the Fourth Proportional to 99,568.51, 137,406.14 and 54,248.65

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Solution

The fourth proportional to 99,568.51, 137,406.14 and 54,248.65 is: 74,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,568.51 : 137,406.14 = 54,248.65 : x
  2. Step 2: Convert to fraction form
    99,568.51/137,406.14 = 54,248.65/x
  3. Step 3: Cross multiply
    99,568.51x = 137,406.14 × 54,248.65
  4. Step 4: Simplify right side
    99,568.51x = 7,454,097,596.71
  5. Step 5: Solve for x
    x = 7,454,097,596.71/99,568.51
  6. Step 6: Final answer
    x = 74,864.01

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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.