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Finding the Fourth Proportional to 121,108.48, 181,400.16 and 58,648

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Solution

The fourth proportional to 121,108.48, 181,400.16 and 58,648 is: 87,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,108.48 : 181,400.16 = 58,648 : x
  2. Step 2: Convert to fraction form
    121,108.48/181,400.16 = 58,648/x
  3. Step 3: Cross multiply
    121,108.48x = 181,400.16 × 58,648
  4. Step 4: Simplify right side
    121,108.48x = 10,638,756,583.68
  5. Step 5: Solve for x
    x = 10,638,756,583.68/121,108.48
  6. Step 6: Final answer
    x = 87,844.85

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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.