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Finding the Fourth Proportional to 141,564, 212,430.80 and 52,879.83

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Solution

The fourth proportional to 141,564, 212,430.80 and 52,879.83 is: 79,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,564 : 212,430.80 = 52,879.83 : x
  2. Step 2: Convert to fraction form
    141,564/212,430.80 = 52,879.83/x
  3. Step 3: Cross multiply
    141,564x = 212,430.80 × 52,879.83
  4. Step 4: Simplify right side
    141,564x = 11,233,304,326.36
  5. Step 5: Solve for x
    x = 11,233,304,326.36/141,564
  6. Step 6: Final answer
    x = 79,351.42

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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.