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Finding the Fourth Proportional to 110,978.28, 153,160.65 and 65,670.66

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Solution

The fourth proportional to 110,978.28, 153,160.65 and 65,670.66 is: 90,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,978.28 : 153,160.65 = 65,670.66 : x
  2. Step 2: Convert to fraction form
    110,978.28/153,160.65 = 65,670.66/x
  3. Step 3: Cross multiply
    110,978.28x = 153,160.65 × 65,670.66
  4. Step 4: Simplify right side
    110,978.28x = 10,058,160,971.53
  5. Step 5: Solve for x
    x = 10,058,160,971.53/110,978.28
  6. Step 6: Final answer
    x = 90,631.80

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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.