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Finding the Fourth Proportional to 151,958.64, 209,701.52 and 83,980.16

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Solution

The fourth proportional to 151,958.64, 209,701.52 and 83,980.16 is: 115,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,958.64 : 209,701.52 = 83,980.16 : x
  2. Step 2: Convert to fraction form
    151,958.64/209,701.52 = 83,980.16/x
  3. Step 3: Cross multiply
    151,958.64x = 209,701.52 × 83,980.16
  4. Step 4: Simplify right side
    151,958.64x = 17,610,767,201.84
  5. Step 5: Solve for x
    x = 17,610,767,201.84/151,958.64
  6. Step 6: Final answer
    x = 115,891.85

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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.