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Finding the Fourth Proportional to 213,140.52, 319,710.78 and 107,989.56

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Solution

The fourth proportional to 213,140.52, 319,710.78 and 107,989.56 is: 161,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,140.52 : 319,710.78 = 107,989.56 : x
  2. Step 2: Convert to fraction form
    213,140.52/319,710.78 = 107,989.56/x
  3. Step 3: Cross multiply
    213,140.52x = 319,710.78 × 107,989.56
  4. Step 4: Simplify right side
    213,140.52x = 34,525,426,459.46
  5. Step 5: Solve for x
    x = 34,525,426,459.46/213,140.52
  6. Step 6: Final answer
    x = 161,984.34

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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.