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Finding the Fourth Proportional to 52,228, 78,342 and 13,316

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Solution

The fourth proportional to 52,228, 78,342 and 13,316 is: 19,974

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,228 : 78,342 = 13,316 : x
  2. Step 2: Convert to fraction form
    52,228/78,342 = 13,316/x
  3. Step 3: Cross multiply
    52,228x = 78,342 × 13,316
  4. Step 4: Simplify right side
    52,228x = 1,043,202,072
  5. Step 5: Solve for x
    x = 1,043,202,072/52,228
  6. Step 6: Final answer
    x = 19,974

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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.