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Finding the Fourth Proportional to 52,447.50, 78,683.70 and 17,387.16

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Solution

The fourth proportional to 52,447.50, 78,683.70 and 17,387.16 is: 26,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,447.50 : 78,683.70 = 17,387.16 : x
  2. Step 2: Convert to fraction form
    52,447.50/78,683.70 = 17,387.16/x
  3. Step 3: Cross multiply
    52,447.50x = 78,683.70 × 17,387.16
  4. Step 4: Simplify right side
    52,447.50x = 1,368,085,851.43
  5. Step 5: Solve for x
    x = 1,368,085,851.43/52,447.50
  6. Step 6: Final answer
    x = 26,084.86

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