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Finding the Fourth Proportional to 115,110.83, 172,690.95 and 65,214.83

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Solution

The fourth proportional to 115,110.83, 172,690.95 and 65,214.83 is: 97,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,110.83 : 172,690.95 = 65,214.83 : x
  2. Step 2: Convert to fraction form
    115,110.83/172,690.95 = 65,214.83/x
  3. Step 3: Cross multiply
    115,110.83x = 172,690.95 × 65,214.83
  4. Step 4: Simplify right side
    115,110.83x = 11,262,010,946.79
  5. Step 5: Solve for x
    x = 11,262,010,946.79/115,110.83
  6. Step 6: Final answer
    x = 97,836.24

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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.