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Finding the Fourth Proportional to 75,143.80, 103,698.58 and 40,688.91

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Solution

The fourth proportional to 75,143.80, 103,698.58 and 40,688.91 is: 56,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,143.80 : 103,698.58 = 40,688.91 : x
  2. Step 2: Convert to fraction form
    75,143.80/103,698.58 = 40,688.91/x
  3. Step 3: Cross multiply
    75,143.80x = 103,698.58 × 40,688.91
  4. Step 4: Simplify right side
    75,143.80x = 4,219,381,871.66
  5. Step 5: Solve for x
    x = 4,219,381,871.66/75,143.80
  6. Step 6: Final answer
    x = 56,150.76

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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.