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Finding the Fourth Proportional to 145,143.78, 200,263.32 and 84,679.92

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Solution

The fourth proportional to 145,143.78, 200,263.32 and 84,679.92 is: 116,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,143.78 : 200,263.32 = 84,679.92 : x
  2. Step 2: Convert to fraction form
    145,143.78/200,263.32 = 84,679.92/x
  3. Step 3: Cross multiply
    145,143.78x = 200,263.32 × 84,679.92
  4. Step 4: Simplify right side
    145,143.78x = 16,958,281,916.53
  5. Step 5: Solve for x
    x = 16,958,281,916.53/145,143.78
  6. Step 6: Final answer
    x = 116,837.81

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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.