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Finding the Fourth Proportional to 142,407.70, 213,623.70 and 37,226.50

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Solution

The fourth proportional to 142,407.70, 213,623.70 and 37,226.50 is: 55,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,407.70 : 213,623.70 = 37,226.50 : x
  2. Step 2: Convert to fraction form
    142,407.70/213,623.70 = 37,226.50/x
  3. Step 3: Cross multiply
    142,407.70x = 213,623.70 × 37,226.50
  4. Step 4: Simplify right side
    142,407.70x = 7,952,462,668.05
  5. Step 5: Solve for x
    x = 7,952,462,668.05/142,407.70
  6. Step 6: Final answer
    x = 55,842.93

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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.