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Finding the Fourth Proportional to 207,879.84, 286,876.32 and 112,388.40

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Solution

The fourth proportional to 207,879.84, 286,876.32 and 112,388.40 is: 155,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,879.84 : 286,876.32 = 112,388.40 : x
  2. Step 2: Convert to fraction form
    207,879.84/286,876.32 = 112,388.40/x
  3. Step 3: Cross multiply
    207,879.84x = 286,876.32 × 112,388.40
  4. Step 4: Simplify right side
    207,879.84x = 32,241,570,602.69
  5. Step 5: Solve for x
    x = 32,241,570,602.69/207,879.84
  6. Step 6: Final answer
    x = 155,097.15

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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.