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Finding the Fourth Proportional to 101,742.48, 140,393.01 and 56,409.01

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Solution

The fourth proportional to 101,742.48, 140,393.01 and 56,409.01 is: 77,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,742.48 : 140,393.01 = 56,409.01 : x
  2. Step 2: Convert to fraction form
    101,742.48/140,393.01 = 56,409.01/x
  3. Step 3: Cross multiply
    101,742.48x = 140,393.01 × 56,409.01
  4. Step 4: Simplify right side
    101,742.48x = 7,919,430,302.33
  5. Step 5: Solve for x
    x = 7,919,430,302.33/101,742.48
  6. Step 6: Final answer
    x = 77,837.99

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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.