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Finding the Fourth Proportional to 151,288.84, 208,776.84 and 83,304.40

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Solution

The fourth proportional to 151,288.84, 208,776.84 and 83,304.40 is: 114,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,288.84 : 208,776.84 = 83,304.40 : x
  2. Step 2: Convert to fraction form
    151,288.84/208,776.84 = 83,304.40/x
  3. Step 3: Cross multiply
    151,288.84x = 208,776.84 × 83,304.40
  4. Step 4: Simplify right side
    151,288.84x = 17,392,029,390.10
  5. Step 5: Solve for x
    x = 17,392,029,390.10/151,288.84
  6. Step 6: Final answer
    x = 114,959.10

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1.5x scale

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.