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Finding the Fourth Proportional to 55,058.20, 75,978.06 and 29,907.16

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Solution

The fourth proportional to 55,058.20, 75,978.06 and 29,907.16 is: 41,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,058.20 : 75,978.06 = 29,907.16 : x
  2. Step 2: Convert to fraction form
    55,058.20/75,978.06 = 29,907.16/x
  3. Step 3: Cross multiply
    55,058.20x = 75,978.06 × 29,907.16
  4. Step 4: Simplify right side
    55,058.20x = 2,272,287,996.91
  5. Step 5: Solve for x
    x = 2,272,287,996.91/55,058.20
  6. Step 6: Final answer
    x = 41,270.66

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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.