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Finding the Fourth Proportional to 115,053.56, 158,822.90 and 77,349.68

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Solution

The fourth proportional to 115,053.56, 158,822.90 and 77,349.68 is: 106,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,053.56 : 158,822.90 = 77,349.68 : x
  2. Step 2: Convert to fraction form
    115,053.56/158,822.90 = 77,349.68/x
  3. Step 3: Cross multiply
    115,053.56x = 158,822.90 × 77,349.68
  4. Step 4: Simplify right side
    115,053.56x = 12,284,900,491.67
  5. Step 5: Solve for x
    x = 12,284,900,491.67/115,053.56
  6. Step 6: Final answer
    x = 106,775.49

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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.