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Finding the Fourth Proportional to 52,472.87, 78,680.14 and 21,271.67

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Solution

The fourth proportional to 52,472.87, 78,680.14 and 21,271.67 is: 31,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,472.87 : 78,680.14 = 21,271.67 : x
  2. Step 2: Convert to fraction form
    52,472.87/78,680.14 = 21,271.67/x
  3. Step 3: Cross multiply
    52,472.87x = 78,680.14 × 21,271.67
  4. Step 4: Simplify right side
    52,472.87x = 1,673,657,973.63
  5. Step 5: Solve for x
    x = 1,673,657,973.63/52,472.87
  6. Step 6: Final answer
    x = 31,895.68

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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.