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Finding the Fourth Proportional to 52,516, 78,774 and 13,604

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Solution

The fourth proportional to 52,516, 78,774 and 13,604 is: 20,406

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,516 : 78,774 = 13,604 : x
  2. Step 2: Convert to fraction form
    52,516/78,774 = 13,604/x
  3. Step 3: Cross multiply
    52,516x = 78,774 × 13,604
  4. Step 4: Simplify right side
    52,516x = 1,071,641,496
  5. Step 5: Solve for x
    x = 1,071,641,496/52,516
  6. Step 6: Final answer
    x = 20,406

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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.