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Finding the Fourth Proportional to 189,140.88, 261,010.53 and 103,099.11

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Solution

The fourth proportional to 189,140.88, 261,010.53 and 103,099.11 is: 142,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,140.88 : 261,010.53 = 103,099.11 : x
  2. Step 2: Convert to fraction form
    189,140.88/261,010.53 = 103,099.11/x
  3. Step 3: Cross multiply
    189,140.88x = 261,010.53 × 103,099.11
  4. Step 4: Simplify right side
    189,140.88x = 26,909,953,343.63
  5. Step 5: Solve for x
    x = 26,909,953,343.63/189,140.88
  6. Step 6: Final answer
    x = 142,274.65

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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.