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Finding the Fourth Proportional to 105,245.34, 157,892.66 and 71,981.06

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Solution

The fourth proportional to 105,245.34, 157,892.66 and 71,981.06 is: 107,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,245.34 : 157,892.66 = 71,981.06 : x
  2. Step 2: Convert to fraction form
    105,245.34/157,892.66 = 71,981.06/x
  3. Step 3: Cross multiply
    105,245.34x = 157,892.66 × 71,981.06
  4. Step 4: Simplify right side
    105,245.34x = 11,365,281,033.02
  5. Step 5: Solve for x
    x = 11,365,281,033.02/105,245.34
  6. Step 6: Final answer
    x = 107,988.45

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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.