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Finding the Fourth Proportional to 138,993.60, 208,490.32 and 97,625.28

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Solution

The fourth proportional to 138,993.60, 208,490.32 and 97,625.28 is: 146,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,993.60 : 208,490.32 = 97,625.28 : x
  2. Step 2: Convert to fraction form
    138,993.60/208,490.32 = 97,625.28/x
  3. Step 3: Cross multiply
    138,993.60x = 208,490.32 × 97,625.28
  4. Step 4: Simplify right side
    138,993.60x = 20,353,925,867.29
  5. Step 5: Solve for x
    x = 20,353,925,867.29/138,993.60
  6. Step 6: Final answer
    x = 146,437.86

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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.