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Finding the Fourth Proportional to 52,312, 78,468 and 13,400

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Solution

The fourth proportional to 52,312, 78,468 and 13,400 is: 20,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,312 : 78,468 = 13,400 : x
  2. Step 2: Convert to fraction form
    52,312/78,468 = 13,400/x
  3. Step 3: Cross multiply
    52,312x = 78,468 × 13,400
  4. Step 4: Simplify right side
    52,312x = 1,051,471,200
  5. Step 5: Solve for x
    x = 1,051,471,200/52,312
  6. Step 6: Final answer
    x = 20,100

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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.