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Finding the Fourth Proportional to 110,663.66, 152,670.74 and 77,149.10

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Solution

The fourth proportional to 110,663.66, 152,670.74 and 77,149.10 is: 106,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,663.66 : 152,670.74 = 77,149.10 : x
  2. Step 2: Convert to fraction form
    110,663.66/152,670.74 = 77,149.10/x
  3. Step 3: Cross multiply
    110,663.66x = 152,670.74 × 77,149.10
  4. Step 4: Simplify right side
    110,663.66x = 11,778,410,187.33
  5. Step 5: Solve for x
    x = 11,778,410,187.33/110,663.66
  6. Step 6: Final answer
    x = 106,434.31

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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.