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Finding the Fourth Proportional to 210,871.95, 315,958.01 and 148,411.23

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Solution

The fourth proportional to 210,871.95, 315,958.01 and 148,411.23 is: 222,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,871.95 : 315,958.01 = 148,411.23 : x
  2. Step 2: Convert to fraction form
    210,871.95/315,958.01 = 148,411.23/x
  3. Step 3: Cross multiply
    210,871.95x = 315,958.01 × 148,411.23
  4. Step 4: Simplify right side
    210,871.95x = 46,891,716,150.40
  5. Step 5: Solve for x
    x = 46,891,716,150.40/210,871.95
  6. Step 6: Final answer
    x = 222,370.57

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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.