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Finding the Fourth Proportional to 151,380, 208,904.40 and 84,312

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Solution

The fourth proportional to 151,380, 208,904.40 and 84,312 is: 116,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,380 : 208,904.40 = 84,312 : x
  2. Step 2: Convert to fraction form
    151,380/208,904.40 = 84,312/x
  3. Step 3: Cross multiply
    151,380x = 208,904.40 × 84,312
  4. Step 4: Simplify right side
    151,380x = 17,613,147,772.80
  5. Step 5: Solve for x
    x = 17,613,147,772.80/151,380
  6. Step 6: Final answer
    x = 116,350.56

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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.