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Finding the Fourth Proportional to 201,989.40, 278,642.79 and 154,159.74

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Solution

The fourth proportional to 201,989.40, 278,642.79 and 154,159.74 is: 212,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,989.40 : 278,642.79 = 154,159.74 : x
  2. Step 2: Convert to fraction form
    201,989.40/278,642.79 = 154,159.74/x
  3. Step 3: Cross multiply
    201,989.40x = 278,642.79 × 154,159.74
  4. Step 4: Simplify right side
    201,989.40x = 42,955,500,059.27
  5. Step 5: Solve for x
    x = 42,955,500,059.27/201,989.40
  6. Step 6: Final answer
    x = 212,662.15

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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.