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Finding the Fourth Proportional to 52,302.72, 78,462 and 21,136.80

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Solution

The fourth proportional to 52,302.72, 78,462 and 21,136.80 is: 31,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,302.72 : 78,462 = 21,136.80 : x
  2. Step 2: Convert to fraction form
    52,302.72/78,462 = 21,136.80/x
  3. Step 3: Cross multiply
    52,302.72x = 78,462 × 21,136.80
  4. Step 4: Simplify right side
    52,302.72x = 1,658,435,601.60
  5. Step 5: Solve for x
    x = 1,658,435,601.60/52,302.72
  6. Step 6: Final answer
    x = 31,708.40

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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.