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Finding the Fourth Proportional to 105,145.40, 157,657.50 and 71,905.74

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Solution

The fourth proportional to 105,145.40, 157,657.50 and 71,905.74 is: 107,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,145.40 : 157,657.50 = 71,905.74 : x
  2. Step 2: Convert to fraction form
    105,145.40/157,657.50 = 71,905.74/x
  3. Step 3: Cross multiply
    105,145.40x = 157,657.50 × 71,905.74
  4. Step 4: Simplify right side
    105,145.40x = 11,336,479,204.05
  5. Step 5: Solve for x
    x = 11,336,479,204.05/105,145.40
  6. Step 6: Final answer
    x = 107,817.17

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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.