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Finding the Fourth Proportional to 98,761.72, 148,157.96 and 42,617.64

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Solution

The fourth proportional to 98,761.72, 148,157.96 and 42,617.64 is: 63,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,761.72 : 148,157.96 = 42,617.64 : x
  2. Step 2: Convert to fraction form
    98,761.72/148,157.96 = 42,617.64/x
  3. Step 3: Cross multiply
    98,761.72x = 148,157.96 × 42,617.64
  4. Step 4: Simplify right side
    98,761.72x = 6,314,142,602.41
  5. Step 5: Solve for x
    x = 6,314,142,602.41/98,761.72
  6. Step 6: Final answer
    x = 63,933.10

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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.