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Finding the Fourth Proportional to 77,645.16, 116,467.72 and 61,989.48

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Solution

The fourth proportional to 77,645.16, 116,467.72 and 61,989.48 is: 92,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,645.16 : 116,467.72 = 61,989.48 : x
  2. Step 2: Convert to fraction form
    77,645.16/116,467.72 = 61,989.48/x
  3. Step 3: Cross multiply
    77,645.16x = 116,467.72 × 61,989.48
  4. Step 4: Simplify right side
    77,645.16x = 7,219,773,399.59
  5. Step 5: Solve for x
    x = 7,219,773,399.59/77,645.16
  6. Step 6: Final answer
    x = 92,984.20

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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.