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Finding the Fourth Proportional to 292,078.86, 403,068.87 and 157,942.86

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Solution

The fourth proportional to 292,078.86, 403,068.87 and 157,942.86 is: 217,961.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,078.86 : 403,068.87 = 157,942.86 : x
  2. Step 2: Convert to fraction form
    292,078.86/403,068.87 = 157,942.86/x
  3. Step 3: Cross multiply
    292,078.86x = 403,068.87 × 157,942.86
  4. Step 4: Simplify right side
    292,078.86x = 63,661,850,104.77
  5. Step 5: Solve for x
    x = 63,661,850,104.77/292,078.86
  6. Step 6: Final answer
    x = 217,961.17

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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.