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Finding the Fourth Proportional to 162,000.10, 243,000.15 and 51,192.10

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Solution

The fourth proportional to 162,000.10, 243,000.15 and 51,192.10 is: 76,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,000.10 : 243,000.15 = 51,192.10 : x
  2. Step 2: Convert to fraction form
    162,000.10/243,000.15 = 51,192.10/x
  3. Step 3: Cross multiply
    162,000.10x = 243,000.15 × 51,192.10
  4. Step 4: Simplify right side
    162,000.10x = 12,439,687,978.82
  5. Step 5: Solve for x
    x = 12,439,687,978.82/162,000.10
  6. Step 6: Final answer
    x = 76,788.15

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1.5x scale

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.