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Finding the Fourth Proportional to 142,135, 213,203.31 and 59,029

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Solution

The fourth proportional to 142,135, 213,203.31 and 59,029 is: 88,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,135 : 213,203.31 = 59,029 : x
  2. Step 2: Convert to fraction form
    142,135/213,203.31 = 59,029/x
  3. Step 3: Cross multiply
    142,135x = 213,203.31 × 59,029
  4. Step 4: Simplify right side
    142,135x = 12,585,178,185.99
  5. Step 5: Solve for x
    x = 12,585,178,185.99/142,135
  6. Step 6: Final answer
    x = 88,543.84

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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.