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Finding the Fourth Proportional to 189,035.51, 283,086.40 and 140,888.68

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Solution

The fourth proportional to 189,035.51, 283,086.40 and 140,888.68 is: 210,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,035.51 : 283,086.40 = 140,888.68 : x
  2. Step 2: Convert to fraction form
    189,035.51/283,086.40 = 140,888.68/x
  3. Step 3: Cross multiply
    189,035.51x = 283,086.40 × 140,888.68
  4. Step 4: Simplify right side
    189,035.51x = 39,883,669,221.95
  5. Step 5: Solve for x
    x = 39,883,669,221.95/189,035.51
  6. Step 6: Final answer
    x = 210,985.06

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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.