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Finding the Fourth Proportional to 103,175.78, 154,685.68 and 67,646.04

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Solution

The fourth proportional to 103,175.78, 154,685.68 and 67,646.04 is: 101,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,175.78 : 154,685.68 = 67,646.04 : x
  2. Step 2: Convert to fraction form
    103,175.78/154,685.68 = 67,646.04/x
  3. Step 3: Cross multiply
    103,175.78x = 154,685.68 × 67,646.04
  4. Step 4: Simplify right side
    103,175.78x = 10,463,873,696.71
  5. Step 5: Solve for x
    x = 10,463,873,696.71/103,175.78
  6. Step 6: Final answer
    x = 101,417.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.