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Finding the Fourth Proportional to 145,599.89, 200,896.83 and 85,158.72

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Solution

The fourth proportional to 145,599.89, 200,896.83 and 85,158.72 is: 117,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,599.89 : 200,896.83 = 85,158.72 : x
  2. Step 2: Convert to fraction form
    145,599.89/200,896.83 = 85,158.72/x
  3. Step 3: Cross multiply
    145,599.89x = 200,896.83 × 85,158.72
  4. Step 4: Simplify right side
    145,599.89x = 17,108,116,894.86
  5. Step 5: Solve for x
    x = 17,108,116,894.86/145,599.89
  6. Step 6: Final answer
    x = 117,500.90

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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.