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Finding the Fourth Proportional to 52,411.40, 78,621.90 and 21,240.20

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Solution

The fourth proportional to 52,411.40, 78,621.90 and 21,240.20 is: 31,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,411.40 : 78,621.90 = 21,240.20 : x
  2. Step 2: Convert to fraction form
    52,411.40/78,621.90 = 21,240.20/x
  3. Step 3: Cross multiply
    52,411.40x = 78,621.90 × 21,240.20
  4. Step 4: Simplify right side
    52,411.40x = 1,669,944,880.38
  5. Step 5: Solve for x
    x = 1,669,944,880.38/52,411.40
  6. Step 6: Final answer
    x = 31,862.25

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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.