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Finding the Fourth Proportional to 102,206, 153,309 and 28,334

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Solution

The fourth proportional to 102,206, 153,309 and 28,334 is: 42,501

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206 : 153,309 = 28,334 : x
  2. Step 2: Convert to fraction form
    102,206/153,309 = 28,334/x
  3. Step 3: Cross multiply
    102,206x = 153,309 × 28,334
  4. Step 4: Simplify right side
    102,206x = 4,343,857,206
  5. Step 5: Solve for x
    x = 4,343,857,206/102,206
  6. Step 6: Final answer
    x = 42,501

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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.