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Finding the Fourth Proportional to 152,538, 210,502.50 and 92,922

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Solution

The fourth proportional to 152,538, 210,502.50 and 92,922 is: 128,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,538 : 210,502.50 = 92,922 : x
  2. Step 2: Convert to fraction form
    152,538/210,502.50 = 92,922/x
  3. Step 3: Cross multiply
    152,538x = 210,502.50 × 92,922
  4. Step 4: Simplify right side
    152,538x = 19,560,313,305
  5. Step 5: Solve for x
    x = 19,560,313,305/152,538
  6. Step 6: Final answer
    x = 128,232.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.