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Finding the Fourth Proportional to 115,173.60, 172,784.64 and 65,277.60

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Solution

The fourth proportional to 115,173.60, 172,784.64 and 65,277.60 is: 97,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,173.60 : 172,784.64 = 65,277.60 : x
  2. Step 2: Convert to fraction form
    115,173.60/172,784.64 = 65,277.60/x
  3. Step 3: Cross multiply
    115,173.60x = 172,784.64 × 65,277.60
  4. Step 4: Simplify right side
    115,173.60x = 11,278,966,616.06
  5. Step 5: Solve for x
    x = 11,278,966,616.06/115,173.60
  6. Step 6: Final answer
    x = 97,930.14

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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.