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Finding the Fourth Proportional to 138,814.56, 191,564.16 and 75,152.64

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Solution

The fourth proportional to 138,814.56, 191,564.16 and 75,152.64 is: 103,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,814.56 : 191,564.16 = 75,152.64 : x
  2. Step 2: Convert to fraction form
    138,814.56/191,564.16 = 75,152.64/x
  3. Step 3: Cross multiply
    138,814.56x = 191,564.16 × 75,152.64
  4. Step 4: Simplify right side
    138,814.56x = 14,396,552,353.38
  5. Step 5: Solve for x
    x = 14,396,552,353.38/138,814.56
  6. Step 6: Final answer
    x = 103,710.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.