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Finding the Fourth Proportional to 162,158.88, 243,235.44 and 51,348

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Solution

The fourth proportional to 162,158.88, 243,235.44 and 51,348 is: 77,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,158.88 : 243,235.44 = 51,348 : x
  2. Step 2: Convert to fraction form
    162,158.88/243,235.44 = 51,348/x
  3. Step 3: Cross multiply
    162,158.88x = 243,235.44 × 51,348
  4. Step 4: Simplify right side
    162,158.88x = 12,489,653,373.12
  5. Step 5: Solve for x
    x = 12,489,653,373.12/162,158.88
  6. Step 6: Final answer
    x = 77,021.09

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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.