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Finding the Fourth Proportional to 142,156.96, 213,231.35 and 36,975.93

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Solution

The fourth proportional to 142,156.96, 213,231.35 and 36,975.93 is: 55,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,156.96 : 213,231.35 = 36,975.93 : x
  2. Step 2: Convert to fraction form
    142,156.96/213,231.35 = 36,975.93/x
  3. Step 3: Cross multiply
    142,156.96x = 213,231.35 × 36,975.93
  4. Step 4: Simplify right side
    142,156.96x = 7,884,428,123.99
  5. Step 5: Solve for x
    x = 7,884,428,123.99/142,156.96
  6. Step 6: Final answer
    x = 55,462.83

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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.