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Finding the Fourth Proportional to 145,211.91, 217,845.06 and 65,247.90

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Solution

The fourth proportional to 145,211.91, 217,845.06 and 65,247.90 is: 97,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,211.91 : 217,845.06 = 65,247.90 : x
  2. Step 2: Convert to fraction form
    145,211.91/217,845.06 = 65,247.90/x
  3. Step 3: Cross multiply
    145,211.91x = 217,845.06 × 65,247.90
  4. Step 4: Simplify right side
    145,211.91x = 14,213,931,601.15
  5. Step 5: Solve for x
    x = 14,213,931,601.15/145,211.91
  6. Step 6: Final answer
    x = 97,884.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.