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Finding the Fourth Proportional to 152,634, 210,634.92 and 85,566

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Solution

The fourth proportional to 152,634, 210,634.92 and 85,566 is: 118,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,634 : 210,634.92 = 85,566 : x
  2. Step 2: Convert to fraction form
    152,634/210,634.92 = 85,566/x
  3. Step 3: Cross multiply
    152,634x = 210,634.92 × 85,566
  4. Step 4: Simplify right side
    152,634x = 18,023,187,564.72
  5. Step 5: Solve for x
    x = 18,023,187,564.72/152,634
  6. Step 6: Final answer
    x = 118,081.08

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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.