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Finding the Fourth Proportional to 207,252, 286,007.76 and 117,828

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Solution

The fourth proportional to 207,252, 286,007.76 and 117,828 is: 162,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252 : 286,007.76 = 117,828 : x
  2. Step 2: Convert to fraction form
    207,252/286,007.76 = 117,828/x
  3. Step 3: Cross multiply
    207,252x = 286,007.76 × 117,828
  4. Step 4: Simplify right side
    207,252x = 33,699,722,345.28
  5. Step 5: Solve for x
    x = 33,699,722,345.28/207,252
  6. Step 6: Final answer
    x = 162,602.64

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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.