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Finding the Fourth Proportional to 77,580.56, 116,421.87 and 42,544.82

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Solution

The fourth proportional to 77,580.56, 116,421.87 and 42,544.82 is: 63,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580.56 : 116,421.87 = 42,544.82 : x
  2. Step 2: Convert to fraction form
    77,580.56/116,421.87 = 42,544.82/x
  3. Step 3: Cross multiply
    77,580.56x = 116,421.87 × 42,544.82
  4. Step 4: Simplify right side
    77,580.56x = 4,953,147,503.21
  5. Step 5: Solve for x
    x = 4,953,147,503.21/77,580.56
  6. Step 6: Final answer
    x = 63,845.21

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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.