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Finding the Fourth Proportional to 101,756.85, 140,415.04 and 56,434

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Solution

The fourth proportional to 101,756.85, 140,415.04 and 56,434 is: 77,873.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,756.85 : 140,415.04 = 56,434 : x
  2. Step 2: Convert to fraction form
    101,756.85/140,415.04 = 56,434/x
  3. Step 3: Cross multiply
    101,756.85x = 140,415.04 × 56,434
  4. Step 4: Simplify right side
    101,756.85x = 7,924,182,367.36
  5. Step 5: Solve for x
    x = 7,924,182,367.36/101,756.85
  6. Step 6: Final answer
    x = 77,873.70

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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.