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Finding the Fourth Proportional to 161,428.80, 242,114.40 and 102,158.40

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Solution

The fourth proportional to 161,428.80, 242,114.40 and 102,158.40 is: 153,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,428.80 : 242,114.40 = 102,158.40 : x
  2. Step 2: Convert to fraction form
    161,428.80/242,114.40 = 102,158.40/x
  3. Step 3: Cross multiply
    161,428.80x = 242,114.40 × 102,158.40
  4. Step 4: Simplify right side
    161,428.80x = 24,734,019,720.96
  5. Step 5: Solve for x
    x = 24,734,019,720.96/161,428.80
  6. Step 6: Final answer
    x = 153,219.37

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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.