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Finding the Fourth Proportional to 78,569.22, 108,423.44 and 42,758.46

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Solution

The fourth proportional to 78,569.22, 108,423.44 and 42,758.46 is: 59,005.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,569.22 : 108,423.44 = 42,758.46 : x
  2. Step 2: Convert to fraction form
    78,569.22/108,423.44 = 42,758.46/x
  3. Step 3: Cross multiply
    78,569.22x = 108,423.44 × 42,758.46
  4. Step 4: Simplify right side
    78,569.22x = 4,636,019,322.30
  5. Step 5: Solve for x
    x = 4,636,019,322.30/78,569.22
  6. Step 6: Final answer
    x = 59,005.54

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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.