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Finding the Fourth Proportional to 78,178, 117,267 and 34,402

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Solution

The fourth proportional to 78,178, 117,267 and 34,402 is: 51,603

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178 : 117,267 = 34,402 : x
  2. Step 2: Convert to fraction form
    78,178/117,267 = 34,402/x
  3. Step 3: Cross multiply
    78,178x = 117,267 × 34,402
  4. Step 4: Simplify right side
    78,178x = 4,034,219,334
  5. Step 5: Solve for x
    x = 4,034,219,334/78,178
  6. Step 6: Final answer
    x = 51,603

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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.