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Finding the Fourth Proportional to 161,730.10, 242,595.15 and 147,214.90

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Solution

The fourth proportional to 161,730.10, 242,595.15 and 147,214.90 is: 220,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,730.10 : 242,595.15 = 147,214.90 : x
  2. Step 2: Convert to fraction form
    161,730.10/242,595.15 = 147,214.90/x
  3. Step 3: Cross multiply
    161,730.10x = 242,595.15 × 147,214.90
  4. Step 4: Simplify right side
    161,730.10x = 35,713,620,747.74
  5. Step 5: Solve for x
    x = 35,713,620,747.74/161,730.10
  6. Step 6: Final answer
    x = 220,822.35

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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.