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Finding the Fourth Proportional to 52,578.40, 78,838.80 and 21,378.40

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Solution

The fourth proportional to 52,578.40, 78,838.80 and 21,378.40 is: 32,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578.40 : 78,838.80 = 21,378.40 : x
  2. Step 2: Convert to fraction form
    52,578.40/78,838.80 = 21,378.40/x
  3. Step 3: Cross multiply
    52,578.40x = 78,838.80 × 21,378.40
  4. Step 4: Simplify right side
    52,578.40x = 1,685,447,401.92
  5. Step 5: Solve for x
    x = 1,685,447,401.92/52,578.40
  6. Step 6: Final answer
    x = 32,055.89

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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.