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Finding the Fourth Proportional to 135,998, 187,682.20 and 75,574.61

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Solution

The fourth proportional to 135,998, 187,682.20 and 75,574.61 is: 104,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,998 : 187,682.20 = 75,574.61 : x
  2. Step 2: Convert to fraction form
    135,998/187,682.20 = 75,574.61/x
  3. Step 3: Cross multiply
    135,998x = 187,682.20 × 75,574.61
  4. Step 4: Simplify right side
    135,998x = 14,184,009,068.94
  5. Step 5: Solve for x
    x = 14,184,009,068.94/135,998
  6. Step 6: Final answer
    x = 104,295.72

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1.5x scale

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.