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Finding the Fourth Proportional to 65,384.10, 97,944.87 and 55,345.86

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Solution

The fourth proportional to 65,384.10, 97,944.87 and 55,345.86 is: 82,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384.10 : 97,944.87 = 55,345.86 : x
  2. Step 2: Convert to fraction form
    65,384.10/97,944.87 = 55,345.86/x
  3. Step 3: Cross multiply
    65,384.10x = 97,944.87 × 55,345.86
  4. Step 4: Simplify right side
    65,384.10x = 5,420,843,062.74
  5. Step 5: Solve for x
    x = 5,420,843,062.74/65,384.10
  6. Step 6: Final answer
    x = 82,907.67

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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.