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Finding the Fourth Proportional to 107,312.80, 160,990.80 and 89,903.20

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Solution

The fourth proportional to 107,312.80, 160,990.80 and 89,903.20 is: 134,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,312.80 : 160,990.80 = 89,903.20 : x
  2. Step 2: Convert to fraction form
    107,312.80/160,990.80 = 89,903.20/x
  3. Step 3: Cross multiply
    107,312.80x = 160,990.80 × 89,903.20
  4. Step 4: Simplify right side
    107,312.80x = 14,473,588,090.56
  5. Step 5: Solve for x
    x = 14,473,588,090.56/107,312.80
  6. Step 6: Final answer
    x = 134,872.90

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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.