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Finding the Fourth Proportional to 105,978.66, 159,346.80 and 97,760.40

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Solution

The fourth proportional to 105,978.66, 159,346.80 and 97,760.40 is: 146,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,978.66 : 159,346.80 = 97,760.40 : x
  2. Step 2: Convert to fraction form
    105,978.66/159,346.80 = 97,760.40/x
  3. Step 3: Cross multiply
    105,978.66x = 159,346.80 × 97,760.40
  4. Step 4: Simplify right side
    105,978.66x = 15,577,806,906.72
  5. Step 5: Solve for x
    x = 15,577,806,906.72/105,978.66
  6. Step 6: Final answer
    x = 146,990.03

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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.