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Finding the Fourth Proportional to 78,853.80, 108,820.82 and 43,045.72

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Solution

The fourth proportional to 78,853.80, 108,820.82 and 43,045.72 is: 59,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,853.80 : 108,820.82 = 43,045.72 : x
  2. Step 2: Convert to fraction form
    78,853.80/108,820.82 = 43,045.72/x
  3. Step 3: Cross multiply
    78,853.80x = 108,820.82 × 43,045.72
  4. Step 4: Simplify right side
    78,853.80x = 4,684,270,547.89
  5. Step 5: Solve for x
    x = 4,684,270,547.89/78,853.80
  6. Step 6: Final answer
    x = 59,404.50

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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.