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Finding the Fourth Proportional to 142,506.40, 213,836.40 and 59,408.80

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Solution

The fourth proportional to 142,506.40, 213,836.40 and 59,408.80 is: 89,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,506.40 : 213,836.40 = 59,408.80 : x
  2. Step 2: Convert to fraction form
    142,506.40/213,836.40 = 59,408.80/x
  3. Step 3: Cross multiply
    142,506.40x = 213,836.40 × 59,408.80
  4. Step 4: Simplify right side
    142,506.40x = 12,703,763,920.32
  5. Step 5: Solve for x
    x = 12,703,763,920.32/142,506.40
  6. Step 6: Final answer
    x = 89,145.22

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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.