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Finding the Fourth Proportional to 99,689.32, 137,567.46 and 54,977.32

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Solution

The fourth proportional to 99,689.32, 137,567.46 and 54,977.32 is: 75,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,689.32 : 137,567.46 = 54,977.32 : x
  2. Step 2: Convert to fraction form
    99,689.32/137,567.46 = 54,977.32/x
  3. Step 3: Cross multiply
    99,689.32x = 137,567.46 × 54,977.32
  4. Step 4: Simplify right side
    99,689.32x = 7,563,090,270.01
  5. Step 5: Solve for x
    x = 7,563,090,270.01/99,689.32
  6. Step 6: Final answer
    x = 75,866.61

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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.