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Finding the Fourth Proportional to 141,468.64, 195,228.34 and 77,807.50

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Solution

The fourth proportional to 141,468.64, 195,228.34 and 77,807.50 is: 107,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,468.64 : 195,228.34 = 77,807.50 : x
  2. Step 2: Convert to fraction form
    141,468.64/195,228.34 = 77,807.50/x
  3. Step 3: Cross multiply
    141,468.64x = 195,228.34 × 77,807.50
  4. Step 4: Simplify right side
    141,468.64x = 15,190,229,064.55
  5. Step 5: Solve for x
    x = 15,190,229,064.55/141,468.64
  6. Step 6: Final answer
    x = 107,375.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.