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Finding the Fourth Proportional to 228,078.16, 342,131.28 and 87,837.28

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Solution

The fourth proportional to 228,078.16, 342,131.28 and 87,837.28 is: 131,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,078.16 : 342,131.28 = 87,837.28 : x
  2. Step 2: Convert to fraction form
    228,078.16/342,131.28 = 87,837.28/x
  3. Step 3: Cross multiply
    228,078.16x = 342,131.28 × 87,837.28
  4. Step 4: Simplify right side
    228,078.16x = 30,051,881,038.12
  5. Step 5: Solve for x
    x = 30,051,881,038.12/228,078.16
  6. Step 6: Final answer
    x = 131,761.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.