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Finding the Fourth Proportional to 133,783.74, 200,695.08 and 71,420.22

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Solution

The fourth proportional to 133,783.74, 200,695.08 and 71,420.22 is: 107,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,783.74 : 200,695.08 = 71,420.22 : x
  2. Step 2: Convert to fraction form
    133,783.74/200,695.08 = 71,420.22/x
  3. Step 3: Cross multiply
    133,783.74x = 200,695.08 × 71,420.22
  4. Step 4: Simplify right side
    133,783.74x = 14,333,686,766.52
  5. Step 5: Solve for x
    x = 14,333,686,766.52/133,783.74
  6. Step 6: Final answer
    x = 107,140.72

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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.