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Finding the Fourth Proportional to 142,574.88, 214,139.11 and 104,986.50

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Solution

The fourth proportional to 142,574.88, 214,139.11 and 104,986.50 is: 157,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,574.88 : 214,139.11 = 104,986.50 : x
  2. Step 2: Convert to fraction form
    142,574.88/214,139.11 = 104,986.50/x
  3. Step 3: Cross multiply
    142,574.88x = 214,139.11 × 104,986.50
  4. Step 4: Simplify right side
    142,574.88x = 22,481,715,672.02
  5. Step 5: Solve for x
    x = 22,481,715,672.02/142,574.88
  6. Step 6: Final answer
    x = 157,683.57

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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.