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Finding the Fourth Proportional to 145,003.96, 200,104.59 and 84,569.86

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Solution

The fourth proportional to 145,003.96, 200,104.59 and 84,569.86 is: 116,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,003.96 : 200,104.59 = 84,569.86 : x
  2. Step 2: Convert to fraction form
    145,003.96/200,104.59 = 84,569.86/x
  3. Step 3: Cross multiply
    145,003.96x = 200,104.59 × 84,569.86
  4. Step 4: Simplify right side
    145,003.96x = 16,922,817,161.66
  5. Step 5: Solve for x
    x = 16,922,817,161.66/145,003.96
  6. Step 6: Final answer
    x = 116,705.90

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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.