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Finding the Fourth Proportional to 162,002.40, 243,295.20 and 117,679.20

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Solution

The fourth proportional to 162,002.40, 243,295.20 and 117,679.20 is: 176,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.40 : 243,295.20 = 117,679.20 : x
  2. Step 2: Convert to fraction form
    162,002.40/243,295.20 = 117,679.20/x
  3. Step 3: Cross multiply
    162,002.40x = 243,295.20 × 117,679.20
  4. Step 4: Simplify right side
    162,002.40x = 28,630,784,499.84
  5. Step 5: Solve for x
    x = 28,630,784,499.84/162,002.40
  6. Step 6: Final answer
    x = 176,730.62

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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.