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Finding the Fourth Proportional to 212,134.62, 292,746.87 and 116,647.50

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Solution

The fourth proportional to 212,134.62, 292,746.87 and 116,647.50 is: 160,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,134.62 : 292,746.87 = 116,647.50 : x
  2. Step 2: Convert to fraction form
    212,134.62/292,746.87 = 116,647.50/x
  3. Step 3: Cross multiply
    212,134.62x = 292,746.87 × 116,647.50
  4. Step 4: Simplify right side
    212,134.62x = 34,148,190,518.33
  5. Step 5: Solve for x
    x = 34,148,190,518.33/212,134.62
  6. Step 6: Final answer
    x = 160,974.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.