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Finding the Fourth Proportional to 142,563.78, 213,609.54 and 100,237.07

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Solution

The fourth proportional to 142,563.78, 213,609.54 and 100,237.07 is: 150,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,563.78 : 213,609.54 = 100,237.07 : x
  2. Step 2: Convert to fraction form
    142,563.78/213,609.54 = 100,237.07/x
  3. Step 3: Cross multiply
    142,563.78x = 213,609.54 × 100,237.07
  4. Step 4: Simplify right side
    142,563.78x = 21,411,592,969.71
  5. Step 5: Solve for x
    x = 21,411,592,969.71/142,563.78
  6. Step 6: Final answer
    x = 150,189.57

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1.5x scale

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.