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Finding the Fourth Proportional to 147,911.60, 222,006.60 and 77,841.20

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Solution

The fourth proportional to 147,911.60, 222,006.60 and 77,841.20 is: 116,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,911.60 : 222,006.60 = 77,841.20 : x
  2. Step 2: Convert to fraction form
    147,911.60/222,006.60 = 77,841.20/x
  3. Step 3: Cross multiply
    147,911.60x = 222,006.60 × 77,841.20
  4. Step 4: Simplify right side
    147,911.60x = 17,281,260,151.92
  5. Step 5: Solve for x
    x = 17,281,260,151.92/147,911.60
  6. Step 6: Final answer
    x = 116,835.06

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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.