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Finding the Fourth Proportional to 78,482.54, 108,302.92 and 42,672.58

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Solution

The fourth proportional to 78,482.54, 108,302.92 and 42,672.58 is: 58,886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482.54 : 108,302.92 = 42,672.58 : x
  2. Step 2: Convert to fraction form
    78,482.54/108,302.92 = 42,672.58/x
  3. Step 3: Cross multiply
    78,482.54x = 108,302.92 × 42,672.58
  4. Step 4: Simplify right side
    78,482.54x = 4,621,565,166.65
  5. Step 5: Solve for x
    x = 4,621,565,166.65/78,482.54
  6. Step 6: Final answer
    x = 58,886.54

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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.