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Finding the Fourth Proportional to 151,274, 208,758.12 and 84,210.32

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Solution

The fourth proportional to 151,274, 208,758.12 and 84,210.32 is: 116,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,274 : 208,758.12 = 84,210.32 : x
  2. Step 2: Convert to fraction form
    151,274/208,758.12 = 84,210.32/x
  3. Step 3: Cross multiply
    151,274x = 208,758.12 × 84,210.32
  4. Step 4: Simplify right side
    151,274x = 17,579,588,087.80
  5. Step 5: Solve for x
    x = 17,579,588,087.80/151,274
  6. Step 6: Final answer
    x = 116,210.24

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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.