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Finding the Fourth Proportional to 105,999.30, 158,998.95 and 99,438.30

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Solution

The fourth proportional to 105,999.30, 158,998.95 and 99,438.30 is: 149,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.30 : 158,998.95 = 99,438.30 : x
  2. Step 2: Convert to fraction form
    105,999.30/158,998.95 = 99,438.30/x
  3. Step 3: Cross multiply
    105,999.30x = 158,998.95 × 99,438.30
  4. Step 4: Simplify right side
    105,999.30x = 15,810,585,289.79
  5. Step 5: Solve for x
    x = 15,810,585,289.79/105,999.30
  6. Step 6: Final answer
    x = 149,157.45

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1.5x scale

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.