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Finding the Fourth Proportional to 142,903.80, 213,918.30 and 103,537.80

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Solution

The fourth proportional to 142,903.80, 213,918.30 and 103,537.80 is: 154,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,903.80 : 213,918.30 = 103,537.80 : x
  2. Step 2: Convert to fraction form
    142,903.80/213,918.30 = 103,537.80/x
  3. Step 3: Cross multiply
    142,903.80x = 213,918.30 × 103,537.80
  4. Step 4: Simplify right side
    142,903.80x = 22,148,630,161.74
  5. Step 5: Solve for x
    x = 22,148,630,161.74/142,903.80
  6. Step 6: Final answer
    x = 154,989.79

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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.