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Finding the Fourth Proportional to 101,963.80, 152,945.70 and 42,914.80

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Solution

The fourth proportional to 101,963.80, 152,945.70 and 42,914.80 is: 64,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,963.80 : 152,945.70 = 42,914.80 : x
  2. Step 2: Convert to fraction form
    101,963.80/152,945.70 = 42,914.80/x
  3. Step 3: Cross multiply
    101,963.80x = 152,945.70 × 42,914.80
  4. Step 4: Simplify right side
    101,963.80x = 6,563,634,126.36
  5. Step 5: Solve for x
    x = 6,563,634,126.36/101,963.80
  6. Step 6: Final answer
    x = 64,372.20

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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.