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Finding the Fourth Proportional to 292,078.36, 403,068.18 and 157,942.36

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Solution

The fourth proportional to 292,078.36, 403,068.18 and 157,942.36 is: 217,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,078.36 : 403,068.18 = 157,942.36 : x
  2. Step 2: Convert to fraction form
    292,078.36/403,068.18 = 157,942.36/x
  3. Step 3: Cross multiply
    292,078.36x = 403,068.18 × 157,942.36
  4. Step 4: Simplify right side
    292,078.36x = 63,661,539,590.10
  5. Step 5: Solve for x
    x = 63,661,539,590.10/292,078.36
  6. Step 6: Final answer
    x = 217,960.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.