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Finding the Fourth Proportional to 151,328, 208,832.64 and 84,275.84

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Solution

The fourth proportional to 151,328, 208,832.64 and 84,275.84 is: 116,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,328 : 208,832.64 = 84,275.84 : x
  2. Step 2: Convert to fraction form
    151,328/208,832.64 = 84,275.84/x
  3. Step 3: Cross multiply
    151,328x = 208,832.64 × 84,275.84
  4. Step 4: Simplify right side
    151,328x = 17,599,546,155.42
  5. Step 5: Solve for x
    x = 17,599,546,155.42/151,328
  6. Step 6: Final answer
    x = 116,300.66

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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.