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Finding the Fourth Proportional to 201,852, 278,555.76 and 112,433.76

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Solution

The fourth proportional to 201,852, 278,555.76 and 112,433.76 is: 155,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852 : 278,555.76 = 112,433.76 : x
  2. Step 2: Convert to fraction form
    201,852/278,555.76 = 112,433.76/x
  3. Step 3: Cross multiply
    201,852x = 278,555.76 × 112,433.76
  4. Step 4: Simplify right side
    201,852x = 31,319,071,466.46
  5. Step 5: Solve for x
    x = 31,319,071,466.46/201,852
  6. Step 6: Final answer
    x = 155,158.59

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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.