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Finding the Fourth Proportional to 145,451.76, 200,690.74 and 84,188.46

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Solution

The fourth proportional to 145,451.76, 200,690.74 and 84,188.46 is: 116,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,451.76 : 200,690.74 = 84,188.46 : x
  2. Step 2: Convert to fraction form
    145,451.76/200,690.74 = 84,188.46/x
  3. Step 3: Cross multiply
    145,451.76x = 200,690.74 × 84,188.46
  4. Step 4: Simplify right side
    145,451.76x = 16,895,844,336.86
  5. Step 5: Solve for x
    x = 16,895,844,336.86/145,451.76
  6. Step 6: Final answer
    x = 116,161.15

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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.