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Finding the Fourth Proportional to 52,493.81, 78,737.47 and 21,328.25

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Solution

The fourth proportional to 52,493.81, 78,737.47 and 21,328.25 is: 31,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,493.81 : 78,737.47 = 21,328.25 : x
  2. Step 2: Convert to fraction form
    52,493.81/78,737.47 = 21,328.25/x
  3. Step 3: Cross multiply
    52,493.81x = 78,737.47 × 21,328.25
  4. Step 4: Simplify right side
    52,493.81x = 1,679,331,997.52
  5. Step 5: Solve for x
    x = 1,679,331,997.52/52,493.81
  6. Step 6: Final answer
    x = 31,991.05

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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.