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Finding the Fourth Proportional to 52,611.16, 78,916.74 and 19,316.82

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Solution

The fourth proportional to 52,611.16, 78,916.74 and 19,316.82 is: 28,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,611.16 : 78,916.74 = 19,316.82 : x
  2. Step 2: Convert to fraction form
    52,611.16/78,916.74 = 19,316.82/x
  3. Step 3: Cross multiply
    52,611.16x = 78,916.74 × 19,316.82
  4. Step 4: Simplify right side
    52,611.16x = 1,524,420,461.57
  5. Step 5: Solve for x
    x = 1,524,420,461.57/52,611.16
  6. Step 6: Final answer
    x = 28,975.23

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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.