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Finding the Fourth Proportional to 98,417.37, 147,649.49 and 31,857.51

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Solution

The fourth proportional to 98,417.37, 147,649.49 and 31,857.51 is: 47,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,417.37 : 147,649.49 = 31,857.51 : x
  2. Step 2: Convert to fraction form
    98,417.37/147,649.49 = 31,857.51/x
  3. Step 3: Cross multiply
    98,417.37x = 147,649.49 × 31,857.51
  4. Step 4: Simplify right side
    98,417.37x = 4,703,744,944.88
  5. Step 5: Solve for x
    x = 4,703,744,944.88/98,417.37
  6. Step 6: Final answer
    x = 47,793.85

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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.