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Finding the Fourth Proportional to 136,980.66, 189,034.01 and 76,552.31

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Solution

The fourth proportional to 136,980.66, 189,034.01 and 76,552.31 is: 105,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,980.66 : 189,034.01 = 76,552.31 : x
  2. Step 2: Convert to fraction form
    136,980.66/189,034.01 = 76,552.31/x
  3. Step 3: Cross multiply
    136,980.66x = 189,034.01 × 76,552.31
  4. Step 4: Simplify right side
    136,980.66x = 14,470,990,798.03
  5. Step 5: Solve for x
    x = 14,470,990,798.03/136,980.66
  6. Step 6: Final answer
    x = 105,642.58

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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.