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Finding the Fourth Proportional to 213,061.54, 319,714.42 and 86,678.46

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Solution

The fourth proportional to 213,061.54, 319,714.42 and 86,678.46 is: 130,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,061.54 : 319,714.42 = 86,678.46 : x
  2. Step 2: Convert to fraction form
    213,061.54/319,714.42 = 86,678.46/x
  3. Step 3: Cross multiply
    213,061.54x = 319,714.42 × 86,678.46
  4. Step 4: Simplify right side
    213,061.54x = 27,712,351,750.13
  5. Step 5: Solve for x
    x = 27,712,351,750.13/213,061.54
  6. Step 6: Final answer
    x = 130,067.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.