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Finding the Fourth Proportional to 78,718.10, 108,629.36 and 42,907.80

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Solution

The fourth proportional to 78,718.10, 108,629.36 and 42,907.80 is: 59,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,718.10 : 108,629.36 = 42,907.80 : x
  2. Step 2: Convert to fraction form
    78,718.10/108,629.36 = 42,907.80/x
  3. Step 3: Cross multiply
    78,718.10x = 108,629.36 × 42,907.80
  4. Step 4: Simplify right side
    78,718.10x = 4,661,046,095.32
  5. Step 5: Solve for x
    x = 4,661,046,095.32/78,718.10
  6. Step 6: Final answer
    x = 59,211.88

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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.