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Finding the Fourth Proportional to 102,566.44, 153,871.90 and 31,489.32

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Solution

The fourth proportional to 102,566.44, 153,871.90 and 31,489.32 is: 47,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,566.44 : 153,871.90 = 31,489.32 : x
  2. Step 2: Convert to fraction form
    102,566.44/153,871.90 = 31,489.32/x
  3. Step 3: Cross multiply
    102,566.44x = 153,871.90 × 31,489.32
  4. Step 4: Simplify right side
    102,566.44x = 4,845,321,498.11
  5. Step 5: Solve for x
    x = 4,845,321,498.11/102,566.44
  6. Step 6: Final answer
    x = 47,240.81

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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.