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Finding the Fourth Proportional to 101,817.50, 140,515.86 and 56,504.08

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Solution

The fourth proportional to 101,817.50, 140,515.86 and 56,504.08 is: 77,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817.50 : 140,515.86 = 56,504.08 : x
  2. Step 2: Convert to fraction form
    101,817.50/140,515.86 = 56,504.08/x
  3. Step 3: Cross multiply
    101,817.50x = 140,515.86 × 56,504.08
  4. Step 4: Simplify right side
    101,817.50x = 7,939,719,394.71
  5. Step 5: Solve for x
    x = 7,939,719,394.71/101,817.50
  6. Step 6: Final answer
    x = 77,979.91

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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.