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Finding the Fourth Proportional to 115,782, 173,688.84 and 40,884.72

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Solution

The fourth proportional to 115,782, 173,688.84 and 40,884.72 is: 61,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,782 : 173,688.84 = 40,884.72 : x
  2. Step 2: Convert to fraction form
    115,782/173,688.84 = 40,884.72/x
  3. Step 3: Cross multiply
    115,782x = 173,688.84 × 40,884.72
  4. Step 4: Simplify right side
    115,782x = 7,101,219,590.52
  5. Step 5: Solve for x
    x = 7,101,219,590.52/115,782
  6. Step 6: Final answer
    x = 61,332.67

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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.