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Finding the Fourth Proportional to 105,555.68, 158,340 and 46,419.20

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Solution

The fourth proportional to 105,555.68, 158,340 and 46,419.20 is: 69,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,555.68 : 158,340 = 46,419.20 : x
  2. Step 2: Convert to fraction form
    105,555.68/158,340 = 46,419.20/x
  3. Step 3: Cross multiply
    105,555.68x = 158,340 × 46,419.20
  4. Step 4: Simplify right side
    105,555.68x = 7,350,016,128
  5. Step 5: Solve for x
    x = 7,350,016,128/105,555.68
  6. Step 6: Final answer
    x = 69,631.65

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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.