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Finding the Fourth Proportional to 159,438.51, 239,157.77 and 138,909.87

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Solution

The fourth proportional to 159,438.51, 239,157.77 and 138,909.87 is: 208,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,438.51 : 239,157.77 = 138,909.87 : x
  2. Step 2: Convert to fraction form
    159,438.51/239,157.77 = 138,909.87/x
  3. Step 3: Cross multiply
    159,438.51x = 239,157.77 × 138,909.87
  4. Step 4: Simplify right side
    159,438.51x = 33,221,374,045.64
  5. Step 5: Solve for x
    x = 33,221,374,045.64/159,438.51
  6. Step 6: Final answer
    x = 208,364.81

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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.