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Finding the Fourth Proportional to 105,140.88, 157,729.14 and 45,975.24

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Solution

The fourth proportional to 105,140.88, 157,729.14 and 45,975.24 is: 68,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,140.88 : 157,729.14 = 45,975.24 : x
  2. Step 2: Convert to fraction form
    105,140.88/157,729.14 = 45,975.24/x
  3. Step 3: Cross multiply
    105,140.88x = 157,729.14 × 45,975.24
  4. Step 4: Simplify right side
    105,140.88x = 7,251,635,066.49
  5. Step 5: Solve for x
    x = 7,251,635,066.49/105,140.88
  6. Step 6: Final answer
    x = 68,970.65

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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.