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Finding the Fourth Proportional to 78,165.26, 107,826.46 and 47,547.72

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Solution

The fourth proportional to 78,165.26, 107,826.46 and 47,547.72 is: 65,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165.26 : 107,826.46 = 47,547.72 : x
  2. Step 2: Convert to fraction form
    78,165.26/107,826.46 = 47,547.72/x
  3. Step 3: Cross multiply
    78,165.26x = 107,826.46 × 47,547.72
  4. Step 4: Simplify right side
    78,165.26x = 5,126,902,328.67
  5. Step 5: Solve for x
    x = 5,126,902,328.67/78,165.26
  6. Step 6: Final answer
    x = 65,590.55

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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.