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Finding the Fourth Proportional to 115,267.49, 172,817.20 and 77,734.32

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Solution

The fourth proportional to 115,267.49, 172,817.20 and 77,734.32 is: 116,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,267.49 : 172,817.20 = 77,734.32 : x
  2. Step 2: Convert to fraction form
    115,267.49/172,817.20 = 77,734.32/x
  3. Step 3: Cross multiply
    115,267.49x = 172,817.20 × 77,734.32
  4. Step 4: Simplify right side
    115,267.49x = 13,433,827,137.63
  5. Step 5: Solve for x
    x = 13,433,827,137.63/115,267.49
  6. Step 6: Final answer
    x = 116,544.80

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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.