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Finding the Fourth Proportional to 136,980.52, 189,153.53 and 86,081.74

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Solution

The fourth proportional to 136,980.52, 189,153.53 and 86,081.74 is: 118,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,980.52 : 189,153.53 = 86,081.74 : x
  2. Step 2: Convert to fraction form
    136,980.52/189,153.53 = 86,081.74/x
  3. Step 3: Cross multiply
    136,980.52x = 189,153.53 × 86,081.74
  4. Step 4: Simplify right side
    136,980.52x = 16,282,664,409.06
  5. Step 5: Solve for x
    x = 16,282,664,409.06/136,980.52
  6. Step 6: Final answer
    x = 118,868.47

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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.