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Finding the Fourth Proportional to 78,560.62, 108,415.93 and 42,752.94

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Solution

The fourth proportional to 78,560.62, 108,415.93 and 42,752.94 is: 59,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,560.62 : 108,415.93 = 42,752.94 : x
  2. Step 2: Convert to fraction form
    78,560.62/108,415.93 = 42,752.94/x
  3. Step 3: Cross multiply
    78,560.62x = 108,415.93 × 42,752.94
  4. Step 4: Simplify right side
    78,560.62x = 4,635,099,750.33
  5. Step 5: Solve for x
    x = 4,635,099,750.33/78,560.62
  6. Step 6: Final answer
    x = 59,000.29

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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.