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Finding the Fourth Proportional to 149,227.32, 205,870.86 and 98,838.84

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Solution

The fourth proportional to 149,227.32, 205,870.86 and 98,838.84 is: 136,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,227.32 : 205,870.86 = 98,838.84 : x
  2. Step 2: Convert to fraction form
    149,227.32/205,870.86 = 98,838.84/x
  3. Step 3: Cross multiply
    149,227.32x = 205,870.86 × 98,838.84
  4. Step 4: Simplify right side
    149,227.32x = 20,348,036,992.20
  5. Step 5: Solve for x
    x = 20,348,036,992.20/149,227.32
  6. Step 6: Final answer
    x = 136,355.98

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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.