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Finding the Fourth Proportional to 52,471.87, 78,678.64 and 21,270.67

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Solution

The fourth proportional to 52,471.87, 78,678.64 and 21,270.67 is: 31,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.87 : 78,678.64 = 21,270.67 : x
  2. Step 2: Convert to fraction form
    52,471.87/78,678.64 = 21,270.67/x
  3. Step 3: Cross multiply
    52,471.87x = 78,678.64 × 21,270.67
  4. Step 4: Simplify right side
    52,471.87x = 1,673,547,387.49
  5. Step 5: Solve for x
    x = 1,673,547,387.49/52,471.87
  6. Step 6: Final answer
    x = 31,894.18

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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.