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Finding the Fourth Proportional to 123,583.80, 170,608.86 and 78,308.76

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Solution

The fourth proportional to 123,583.80, 170,608.86 and 78,308.76 is: 108,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,583.80 : 170,608.86 = 78,308.76 : x
  2. Step 2: Convert to fraction form
    123,583.80/170,608.86 = 78,308.76/x
  3. Step 3: Cross multiply
    123,583.80x = 170,608.86 × 78,308.76
  4. Step 4: Simplify right side
    123,583.80x = 13,360,168,271.61
  5. Step 5: Solve for x
    x = 13,360,168,271.61/123,583.80
  6. Step 6: Final answer
    x = 108,106.15

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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.