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Finding the Fourth Proportional to 207,951.14, 286,971.72 and 112,457.82

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Solution

The fourth proportional to 207,951.14, 286,971.72 and 112,457.82 is: 155,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,951.14 : 286,971.72 = 112,457.82 : x
  2. Step 2: Convert to fraction form
    207,951.14/286,971.72 = 112,457.82/x
  3. Step 3: Cross multiply
    207,951.14x = 286,971.72 × 112,457.82
  4. Step 4: Simplify right side
    207,951.14x = 32,272,214,032.85
  5. Step 5: Solve for x
    x = 32,272,214,032.85/207,951.14
  6. Step 6: Final answer
    x = 155,191.33

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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.