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Finding the Fourth Proportional to 228,058.14, 342,035.24 and 85,918.13

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Solution

The fourth proportional to 228,058.14, 342,035.24 and 85,918.13 is: 128,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,058.14 : 342,035.24 = 85,918.13 : x
  2. Step 2: Convert to fraction form
    228,058.14/342,035.24 = 85,918.13/x
  3. Step 3: Cross multiply
    228,058.14x = 342,035.24 × 85,918.13
  4. Step 4: Simplify right side
    228,058.14x = 29,387,026,075.13
  5. Step 5: Solve for x
    x = 29,387,026,075.13/228,058.14
  6. Step 6: Final answer
    x = 128,857.61

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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.