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Finding the Fourth Proportional to 207,913.61, 286,920.41 and 117,269.30

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Solution

The fourth proportional to 207,913.61, 286,920.41 and 117,269.30 is: 161,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,913.61 : 286,920.41 = 117,269.30 : x
  2. Step 2: Convert to fraction form
    207,913.61/286,920.41 = 117,269.30/x
  3. Step 3: Cross multiply
    207,913.61x = 286,920.41 × 117,269.30
  4. Step 4: Simplify right side
    207,913.61x = 33,646,953,615.46
  5. Step 5: Solve for x
    x = 33,646,953,615.46/207,913.61
  6. Step 6: Final answer
    x = 161,831.42

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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.