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Finding the Fourth Proportional to 189,756.48, 261,863.52 and 122,688

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Solution

The fourth proportional to 189,756.48, 261,863.52 and 122,688 is: 169,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,756.48 : 261,863.52 = 122,688 : x
  2. Step 2: Convert to fraction form
    189,756.48/261,863.52 = 122,688/x
  3. Step 3: Cross multiply
    189,756.48x = 261,863.52 × 122,688
  4. Step 4: Simplify right side
    189,756.48x = 32,127,511,541.76
  5. Step 5: Solve for x
    x = 32,127,511,541.76/189,756.48
  6. Step 6: Final answer
    x = 169,309.17

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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.