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Finding the Fourth Proportional to 116,670.74, 161,017.68 and 71,378.86

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Solution

The fourth proportional to 116,670.74, 161,017.68 and 71,378.86 is: 98,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,670.74 : 161,017.68 = 71,378.86 : x
  2. Step 2: Convert to fraction form
    116,670.74/161,017.68 = 71,378.86/x
  3. Step 3: Cross multiply
    116,670.74x = 161,017.68 × 71,378.86
  4. Step 4: Simplify right side
    116,670.74x = 11,493,258,438.24
  5. Step 5: Solve for x
    x = 11,493,258,438.24/116,670.74
  6. Step 6: Final answer
    x = 98,510.20

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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.