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Finding the Fourth Proportional to 116,122.90, 160,262.14 and 65,816.50

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Solution

The fourth proportional to 116,122.90, 160,262.14 and 65,816.50 is: 90,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,122.90 : 160,262.14 = 65,816.50 : x
  2. Step 2: Convert to fraction form
    116,122.90/160,262.14 = 65,816.50/x
  3. Step 3: Cross multiply
    116,122.90x = 160,262.14 × 65,816.50
  4. Step 4: Simplify right side
    116,122.90x = 10,547,893,137.31
  5. Step 5: Solve for x
    x = 10,547,893,137.31/116,122.90
  6. Step 6: Final answer
    x = 90,833.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.