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Finding the Fourth Proportional to 138,357.53, 207,536.34 and 106,813.64

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Solution

The fourth proportional to 138,357.53, 207,536.34 and 106,813.64 is: 160,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,357.53 : 207,536.34 = 106,813.64 : x
  2. Step 2: Convert to fraction form
    138,357.53/207,536.34 = 106,813.64/x
  3. Step 3: Cross multiply
    138,357.53x = 207,536.34 × 106,813.64
  4. Step 4: Simplify right side
    138,357.53x = 22,167,710,870.00
  5. Step 5: Solve for x
    x = 22,167,710,870.00/138,357.53
  6. Step 6: Final answer
    x = 160,220.49

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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.