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Finding the Fourth Proportional to 212,971.60, 319,495.65 and 72,697.42

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Solution

The fourth proportional to 212,971.60, 319,495.65 and 72,697.42 is: 109,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,971.60 : 319,495.65 = 72,697.42 : x
  2. Step 2: Convert to fraction form
    212,971.60/319,495.65 = 72,697.42/x
  3. Step 3: Cross multiply
    212,971.60x = 319,495.65 × 72,697.42
  4. Step 4: Simplify right side
    212,971.60x = 23,226,509,456.22
  5. Step 5: Solve for x
    x = 23,226,509,456.22/212,971.60
  6. Step 6: Final answer
    x = 109,059.19

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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.