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Finding the Fourth Proportional to 78,353.78, 108,126.51 and 42,543.48

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Solution

The fourth proportional to 78,353.78, 108,126.51 and 42,543.48 is: 58,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,353.78 : 108,126.51 = 42,543.48 : x
  2. Step 2: Convert to fraction form
    78,353.78/108,126.51 = 42,543.48/x
  3. Step 3: Cross multiply
    78,353.78x = 108,126.51 × 42,543.48
  4. Step 4: Simplify right side
    78,353.78x = 4,600,078,015.65
  5. Step 5: Solve for x
    x = 4,600,078,015.65/78,353.78
  6. Step 6: Final answer
    x = 58,709.08

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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.