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Finding the Fourth Proportional to 154,382, 213,047.16 and 83,726

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Solution

The fourth proportional to 154,382, 213,047.16 and 83,726 is: 115,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,382 : 213,047.16 = 83,726 : x
  2. Step 2: Convert to fraction form
    154,382/213,047.16 = 83,726/x
  3. Step 3: Cross multiply
    154,382x = 213,047.16 × 83,726
  4. Step 4: Simplify right side
    154,382x = 17,837,586,518.16
  5. Step 5: Solve for x
    x = 17,837,586,518.16/154,382
  6. Step 6: Final answer
    x = 115,541.88

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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.