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Finding the Fourth Proportional to 78,644.76, 108,529.20 and 42,834.64

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Solution

The fourth proportional to 78,644.76, 108,529.20 and 42,834.64 is: 59,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644.76 : 108,529.20 = 42,834.64 : x
  2. Step 2: Convert to fraction form
    78,644.76/108,529.20 = 42,834.64/x
  3. Step 3: Cross multiply
    78,644.76x = 108,529.20 × 42,834.64
  4. Step 4: Simplify right side
    78,644.76x = 4,648,809,211.49
  5. Step 5: Solve for x
    x = 4,648,809,211.49/78,644.76
  6. Step 6: Final answer
    x = 59,111.49

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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.