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Finding the Fourth Proportional to 86,618, 119,532.84 and 46,874

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Solution

The fourth proportional to 86,618, 119,532.84 and 46,874 is: 64,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,618 : 119,532.84 = 46,874 : x
  2. Step 2: Convert to fraction form
    86,618/119,532.84 = 46,874/x
  3. Step 3: Cross multiply
    86,618x = 119,532.84 × 46,874
  4. Step 4: Simplify right side
    86,618x = 5,602,982,342.16
  5. Step 5: Solve for x
    x = 5,602,982,342.16/86,618
  6. Step 6: Final answer
    x = 64,686.12

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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.