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Finding the Fourth Proportional to 161,903.10, 242,854.65 and 102,854.10

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Solution

The fourth proportional to 161,903.10, 242,854.65 and 102,854.10 is: 154,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,903.10 : 242,854.65 = 102,854.10 : x
  2. Step 2: Convert to fraction form
    161,903.10/242,854.65 = 102,854.10/x
  3. Step 3: Cross multiply
    161,903.10x = 242,854.65 × 102,854.10
  4. Step 4: Simplify right side
    161,903.10x = 24,978,596,456.57
  5. Step 5: Solve for x
    x = 24,978,596,456.57/161,903.10
  6. Step 6: Final answer
    x = 154,281.15

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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.