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Finding the Fourth Proportional to 136,980.72, 189,153.63 and 86,081.64

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Solution

The fourth proportional to 136,980.72, 189,153.63 and 86,081.64 is: 118,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,980.72 : 189,153.63 = 86,081.64 : x
  2. Step 2: Convert to fraction form
    136,980.72/189,153.63 = 86,081.64/x
  3. Step 3: Cross multiply
    136,980.72x = 189,153.63 × 86,081.64
  4. Step 4: Simplify right side
    136,980.72x = 16,282,653,973.03
  5. Step 5: Solve for x
    x = 16,282,653,973.03/136,980.72
  6. Step 6: Final answer
    x = 118,868.22

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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.