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Finding the Fourth Proportional to 123,634.84, 170,656.32 and 72,646.68

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Solution

The fourth proportional to 123,634.84, 170,656.32 and 72,646.68 is: 100,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,634.84 : 170,656.32 = 72,646.68 : x
  2. Step 2: Convert to fraction form
    123,634.84/170,656.32 = 72,646.68/x
  3. Step 3: Cross multiply
    123,634.84x = 170,656.32 × 72,646.68
  4. Step 4: Simplify right side
    123,634.84x = 12,397,615,069.02
  5. Step 5: Solve for x
    x = 12,397,615,069.02/123,634.84
  6. Step 6: Final answer
    x = 100,276.06

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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.