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Finding the Fourth Proportional to 109,534, 164,301 and 26,428

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Solution

The fourth proportional to 109,534, 164,301 and 26,428 is: 39,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,534 : 164,301 = 26,428 : x
  2. Step 2: Convert to fraction form
    109,534/164,301 = 26,428/x
  3. Step 3: Cross multiply
    109,534x = 164,301 × 26,428
  4. Step 4: Simplify right side
    109,534x = 4,342,146,828
  5. Step 5: Solve for x
    x = 4,342,146,828/109,534
  6. Step 6: Final answer
    x = 39,642

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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.