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Finding the Fourth Proportional to 101,782.40, 140,460.56 and 56,463.35

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Solution

The fourth proportional to 101,782.40, 140,460.56 and 56,463.35 is: 77,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782.40 : 140,460.56 = 56,463.35 : x
  2. Step 2: Convert to fraction form
    101,782.40/140,460.56 = 56,463.35/x
  3. Step 3: Cross multiply
    101,782.40x = 140,460.56 × 56,463.35
  4. Step 4: Simplify right side
    101,782.40x = 7,930,873,478.16
  5. Step 5: Solve for x
    x = 7,930,873,478.16/101,782.40
  6. Step 6: Final answer
    x = 77,919.89

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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.