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Finding the Fourth Proportional to 63,985.50, 96,012.81 and 31,153.50

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Solution

The fourth proportional to 63,985.50, 96,012.81 and 31,153.50 is: 46,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,985.50 : 96,012.81 = 31,153.50 : x
  2. Step 2: Convert to fraction form
    63,985.50/96,012.81 = 31,153.50/x
  3. Step 3: Cross multiply
    63,985.50x = 96,012.81 × 31,153.50
  4. Step 4: Simplify right side
    63,985.50x = 2,991,135,076.34
  5. Step 5: Solve for x
    x = 2,991,135,076.34/63,985.50
  6. Step 6: Final answer
    x = 46,747.08

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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.