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Finding the Fourth Proportional to 180,295.68, 248,803.38 and 99,721.20

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Solution

The fourth proportional to 180,295.68, 248,803.38 and 99,721.20 is: 137,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,295.68 : 248,803.38 = 99,721.20 : x
  2. Step 2: Convert to fraction form
    180,295.68/248,803.38 = 99,721.20/x
  3. Step 3: Cross multiply
    180,295.68x = 248,803.38 × 99,721.20
  4. Step 4: Simplify right side
    180,295.68x = 24,810,971,617.66
  5. Step 5: Solve for x
    x = 24,810,971,617.66/180,295.68
  6. Step 6: Final answer
    x = 137,612.68

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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.