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Finding the Fourth Proportional to 205,365.10, 308,058.66 and 65,134.66

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Solution

The fourth proportional to 205,365.10, 308,058.66 and 65,134.66 is: 97,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.10 : 308,058.66 = 65,134.66 : x
  2. Step 2: Convert to fraction form
    205,365.10/308,058.66 = 65,134.66/x
  3. Step 3: Cross multiply
    205,365.10x = 308,058.66 × 65,134.66
  4. Step 4: Simplify right side
    205,365.10x = 20,065,296,079.16
  5. Step 5: Solve for x
    x = 20,065,296,079.16/205,365.10
  6. Step 6: Final answer
    x = 97,705.48

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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.