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Finding the Fourth Proportional to 201,712.72, 278,400.88 and 116,829.76

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Solution

The fourth proportional to 201,712.72, 278,400.88 and 116,829.76 is: 161,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,712.72 : 278,400.88 = 116,829.76 : x
  2. Step 2: Convert to fraction form
    201,712.72/278,400.88 = 116,829.76/x
  3. Step 3: Cross multiply
    201,712.72x = 278,400.88 × 116,829.76
  4. Step 4: Simplify right side
    201,712.72x = 32,525,507,994.19
  5. Step 5: Solve for x
    x = 32,525,507,994.19/201,712.72
  6. Step 6: Final answer
    x = 161,246.69

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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.