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Finding the Fourth Proportional to 103,233.97, 142,482.32 and 67,361.70

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Solution

The fourth proportional to 103,233.97, 142,482.32 and 67,361.70 is: 92,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,233.97 : 142,482.32 = 67,361.70 : x
  2. Step 2: Convert to fraction form
    103,233.97/142,482.32 = 67,361.70/x
  3. Step 3: Cross multiply
    103,233.97x = 142,482.32 × 67,361.70
  4. Step 4: Simplify right side
    103,233.97x = 9,597,851,547.75
  5. Step 5: Solve for x
    x = 9,597,851,547.75/103,233.97
  6. Step 6: Final answer
    x = 92,971.84

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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.