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Finding the Fourth Proportional to 115,299, 159,112.62 and 62,307

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Solution

The fourth proportional to 115,299, 159,112.62 and 62,307 is: 85,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,299 : 159,112.62 = 62,307 : x
  2. Step 2: Convert to fraction form
    115,299/159,112.62 = 62,307/x
  3. Step 3: Cross multiply
    115,299x = 159,112.62 × 62,307
  4. Step 4: Simplify right side
    115,299x = 9,913,830,014.34
  5. Step 5: Solve for x
    x = 9,913,830,014.34/115,299
  6. Step 6: Final answer
    x = 85,983.66

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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.