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Finding the Fourth Proportional to 189,492.50, 261,495.50 and 103,448.54

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Solution

The fourth proportional to 189,492.50, 261,495.50 and 103,448.54 is: 142,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,492.50 : 261,495.50 = 103,448.54 : x
  2. Step 2: Convert to fraction form
    189,492.50/261,495.50 = 103,448.54/x
  3. Step 3: Cross multiply
    189,492.50x = 261,495.50 × 103,448.54
  4. Step 4: Simplify right side
    189,492.50x = 27,051,327,691.57
  5. Step 5: Solve for x
    x = 27,051,327,691.57/189,492.50
  6. Step 6: Final answer
    x = 142,756.72

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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.