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Finding the Fourth Proportional to 68,527, 102,805.62 and 29,117.80

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Solution

The fourth proportional to 68,527, 102,805.62 and 29,117.80 is: 43,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,527 : 102,805.62 = 29,117.80 : x
  2. Step 2: Convert to fraction form
    68,527/102,805.62 = 29,117.80/x
  3. Step 3: Cross multiply
    68,527x = 102,805.62 × 29,117.80
  4. Step 4: Simplify right side
    68,527x = 2,993,473,482.04
  5. Step 5: Solve for x
    x = 2,993,473,482.04/68,527
  6. Step 6: Final answer
    x = 43,683.12

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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.