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Finding the Fourth Proportional to 201,443.10, 278,005.95 and 120,868.62

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Solution

The fourth proportional to 201,443.10, 278,005.95 and 120,868.62 is: 166,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,443.10 : 278,005.95 = 120,868.62 : x
  2. Step 2: Convert to fraction form
    201,443.10/278,005.95 = 120,868.62/x
  3. Step 3: Cross multiply
    201,443.10x = 278,005.95 × 120,868.62
  4. Step 4: Simplify right side
    201,443.10x = 33,602,195,528.29
  5. Step 5: Solve for x
    x = 33,602,195,528.29/201,443.10
  6. Step 6: Final answer
    x = 166,807.38

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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.