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Finding the Fourth Proportional to 78,160.15, 107,863.01 and 47,962.16

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Solution

The fourth proportional to 78,160.15, 107,863.01 and 47,962.16 is: 66,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160.15 : 107,863.01 = 47,962.16 : x
  2. Step 2: Convert to fraction form
    78,160.15/107,863.01 = 47,962.16/x
  3. Step 3: Cross multiply
    78,160.15x = 107,863.01 × 47,962.16
  4. Step 4: Simplify right side
    78,160.15x = 5,173,342,524.29
  5. Step 5: Solve for x
    x = 5,173,342,524.29/78,160.15
  6. Step 6: Final answer
    x = 66,189.01

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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.