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Finding the Fourth Proportional to 98,803.19, 147,860.25 and 80,826.05

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Solution

The fourth proportional to 98,803.19, 147,860.25 and 80,826.05 is: 120,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,803.19 : 147,860.25 = 80,826.05 : x
  2. Step 2: Convert to fraction form
    98,803.19/147,860.25 = 80,826.05/x
  3. Step 3: Cross multiply
    98,803.19x = 147,860.25 × 80,826.05
  4. Step 4: Simplify right side
    98,803.19x = 11,950,959,959.51
  5. Step 5: Solve for x
    x = 11,950,959,959.51/98,803.19
  6. Step 6: Final answer
    x = 120,957.23

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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.