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Finding the Fourth Proportional to 130,098.78, 194,836.32 and 66,752.19

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Solution

The fourth proportional to 130,098.78, 194,836.32 and 66,752.19 is: 99,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,098.78 : 194,836.32 = 66,752.19 : x
  2. Step 2: Convert to fraction form
    130,098.78/194,836.32 = 66,752.19/x
  3. Step 3: Cross multiply
    130,098.78x = 194,836.32 × 66,752.19
  4. Step 4: Simplify right side
    130,098.78x = 13,005,751,051.54
  5. Step 5: Solve for x
    x = 13,005,751,051.54/130,098.78
  6. Step 6: Final answer
    x = 99,968.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.