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Finding the Fourth Proportional to 101,465.22, 140,010 and 56,137.22

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Solution

The fourth proportional to 101,465.22, 140,010 and 56,137.22 is: 77,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,465.22 : 140,010 = 56,137.22 : x
  2. Step 2: Convert to fraction form
    101,465.22/140,010 = 56,137.22/x
  3. Step 3: Cross multiply
    101,465.22x = 140,010 × 56,137.22
  4. Step 4: Simplify right side
    101,465.22x = 7,859,771,472.15
  5. Step 5: Solve for x
    x = 7,859,771,472.15/101,465.22
  6. Step 6: Final answer
    x = 77,462.72

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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.