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Finding the Fourth Proportional to 536,172.20, 804,200.70 and 142,188.20

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Solution

The fourth proportional to 536,172.20, 804,200.70 and 142,188.20 is: 213,267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,172.20 : 804,200.70 = 142,188.20 : x
  2. Step 2: Convert to fraction form
    536,172.20/804,200.70 = 142,188.20/x
  3. Step 3: Cross multiply
    536,172.20x = 804,200.70 × 142,188.20
  4. Step 4: Simplify right side
    536,172.20x = 114,347,849,971.74
  5. Step 5: Solve for x
    x = 114,347,849,971.74/536,172.20
  6. Step 6: Final answer
    x = 213,267.02

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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.