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Finding the Fourth Proportional to 130,962, 196,447.88 and 42,216.80

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Solution

The fourth proportional to 130,962, 196,447.88 and 42,216.80 is: 63,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,962 : 196,447.88 = 42,216.80 : x
  2. Step 2: Convert to fraction form
    130,962/196,447.88 = 42,216.80/x
  3. Step 3: Cross multiply
    130,962x = 196,447.88 × 42,216.80
  4. Step 4: Simplify right side
    130,962x = 8,293,400,860.38
  5. Step 5: Solve for x
    x = 8,293,400,860.38/130,962
  6. Step 6: Final answer
    x = 63,326.77

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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.