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Finding the Fourth Proportional to 101,435.22, 139,978.08 and 56,115.72

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Solution

The fourth proportional to 101,435.22, 139,978.08 and 56,115.72 is: 77,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,435.22 : 139,978.08 = 56,115.72 : x
  2. Step 2: Convert to fraction form
    101,435.22/139,978.08 = 56,115.72/x
  3. Step 3: Cross multiply
    101,435.22x = 139,978.08 × 56,115.72
  4. Step 4: Simplify right side
    101,435.22x = 7,854,970,743.42
  5. Step 5: Solve for x
    x = 7,854,970,743.42/101,435.22
  6. Step 6: Final answer
    x = 77,438.30

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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.