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Finding the Fourth Proportional to 161,739.40, 242,609.10 and 146,187.40

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Solution

The fourth proportional to 161,739.40, 242,609.10 and 146,187.40 is: 219,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,739.40 : 242,609.10 = 146,187.40 : x
  2. Step 2: Convert to fraction form
    161,739.40/242,609.10 = 146,187.40/x
  3. Step 3: Cross multiply
    161,739.40x = 242,609.10 × 146,187.40
  4. Step 4: Simplify right side
    161,739.40x = 35,466,393,545.34
  5. Step 5: Solve for x
    x = 35,466,393,545.34/161,739.40
  6. Step 6: Final answer
    x = 219,281.10

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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.