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Finding the Fourth Proportional to 101,461.72, 140,021.30 and 56,138.96

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Solution

The fourth proportional to 101,461.72, 140,021.30 and 56,138.96 is: 77,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,461.72 : 140,021.30 = 56,138.96 : x
  2. Step 2: Convert to fraction form
    101,461.72/140,021.30 = 56,138.96/x
  3. Step 3: Cross multiply
    101,461.72x = 140,021.30 × 56,138.96
  4. Step 4: Simplify right side
    101,461.72x = 7,860,650,159.85
  5. Step 5: Solve for x
    x = 7,860,650,159.85/101,461.72
  6. Step 6: Final answer
    x = 77,474.05

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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.