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Finding the Fourth Proportional to 151,710.32, 209,347.80 and 84,640.88

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Solution

The fourth proportional to 151,710.32, 209,347.80 and 84,640.88 is: 116,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,710.32 : 209,347.80 = 84,640.88 : x
  2. Step 2: Convert to fraction form
    151,710.32/209,347.80 = 84,640.88/x
  3. Step 3: Cross multiply
    151,710.32x = 209,347.80 × 84,640.88
  4. Step 4: Simplify right side
    151,710.32x = 17,719,382,018.06
  5. Step 5: Solve for x
    x = 17,719,382,018.06/151,710.32
  6. Step 6: Final answer
    x = 116,797.47

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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.