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Finding the Fourth Proportional to 157,824, 217,795.82 and 86,204.07

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Solution

The fourth proportional to 157,824, 217,795.82 and 86,204.07 is: 118,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,824 : 217,795.82 = 86,204.07 : x
  2. Step 2: Convert to fraction form
    157,824/217,795.82 = 86,204.07/x
  3. Step 3: Cross multiply
    157,824x = 217,795.82 × 86,204.07
  4. Step 4: Simplify right side
    157,824x = 18,774,885,681.97
  5. Step 5: Solve for x
    x = 18,774,885,681.97/157,824
  6. Step 6: Final answer
    x = 118,960.90

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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.