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Finding the Fourth Proportional to 48,653.10, 72,979.65 and 31,157.10

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Solution

The fourth proportional to 48,653.10, 72,979.65 and 31,157.10 is: 46,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,653.10 : 72,979.65 = 31,157.10 : x
  2. Step 2: Convert to fraction form
    48,653.10/72,979.65 = 31,157.10/x
  3. Step 3: Cross multiply
    48,653.10x = 72,979.65 × 31,157.10
  4. Step 4: Simplify right side
    48,653.10x = 2,273,834,253.02
  5. Step 5: Solve for x
    x = 2,273,834,253.02/48,653.10
  6. Step 6: Final answer
    x = 46,735.65

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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.