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Finding the Fourth Proportional to 65,157.88, 97,684.64 and 42,807.64

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Solution

The fourth proportional to 65,157.88, 97,684.64 and 42,807.64 is: 64,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157.88 : 97,684.64 = 42,807.64 : x
  2. Step 2: Convert to fraction form
    65,157.88/97,684.64 = 42,807.64/x
  3. Step 3: Cross multiply
    65,157.88x = 97,684.64 × 42,807.64
  4. Step 4: Simplify right side
    65,157.88x = 4,181,648,902.65
  5. Step 5: Solve for x
    x = 4,181,648,902.65/65,157.88
  6. Step 6: Final answer
    x = 64,177.18

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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.