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Finding the Fourth Proportional to 116,775.04, 161,140.38 and 65,785

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Solution

The fourth proportional to 116,775.04, 161,140.38 and 65,785 is: 90,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,775.04 : 161,140.38 = 65,785 : x
  2. Step 2: Convert to fraction form
    116,775.04/161,140.38 = 65,785/x
  3. Step 3: Cross multiply
    116,775.04x = 161,140.38 × 65,785
  4. Step 4: Simplify right side
    116,775.04x = 10,600,619,898.30
  5. Step 5: Solve for x
    x = 10,600,619,898.30/116,775.04
  6. Step 6: Final answer
    x = 90,778.13

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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.