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Finding the Fourth Proportional to 152,471.25, 210,410.34 and 92,855.25

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Solution

The fourth proportional to 152,471.25, 210,410.34 and 92,855.25 is: 128,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,471.25 : 210,410.34 = 92,855.25 : x
  2. Step 2: Convert to fraction form
    152,471.25/210,410.34 = 92,855.25/x
  3. Step 3: Cross multiply
    152,471.25x = 210,410.34 × 92,855.25
  4. Step 4: Simplify right side
    152,471.25x = 19,537,704,723.29
  5. Step 5: Solve for x
    x = 19,537,704,723.29/152,471.25
  6. Step 6: Final answer
    x = 128,140.25

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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.