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Finding the Fourth Proportional to 213,018.66, 319,359.60 and 106,347.87

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Solution

The fourth proportional to 213,018.66, 319,359.60 and 106,347.87 is: 159,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,018.66 : 319,359.60 = 106,347.87 : x
  2. Step 2: Convert to fraction form
    213,018.66/319,359.60 = 106,347.87/x
  3. Step 3: Cross multiply
    213,018.66x = 319,359.60 × 106,347.87
  4. Step 4: Simplify right side
    213,018.66x = 33,963,213,224.05
  5. Step 5: Solve for x
    x = 33,963,213,224.05/213,018.66
  6. Step 6: Final answer
    x = 159,437.74

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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.