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Finding the Fourth Proportional to 119,547, 164,974.86 and 66,555

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Solution

The fourth proportional to 119,547, 164,974.86 and 66,555 is: 91,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,547 : 164,974.86 = 66,555 : x
  2. Step 2: Convert to fraction form
    119,547/164,974.86 = 66,555/x
  3. Step 3: Cross multiply
    119,547x = 164,974.86 × 66,555
  4. Step 4: Simplify right side
    119,547x = 10,979,901,807.30
  5. Step 5: Solve for x
    x = 10,979,901,807.30/119,547
  6. Step 6: Final answer
    x = 91,845.90

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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.