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Finding the Fourth Proportional to 147,913.60, 222,009.60 and 77,843.20

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Solution

The fourth proportional to 147,913.60, 222,009.60 and 77,843.20 is: 116,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,913.60 : 222,009.60 = 77,843.20 : x
  2. Step 2: Convert to fraction form
    147,913.60/222,009.60 = 77,843.20/x
  3. Step 3: Cross multiply
    147,913.60x = 222,009.60 × 77,843.20
  4. Step 4: Simplify right side
    147,913.60x = 17,281,937,694.72
  5. Step 5: Solve for x
    x = 17,281,937,694.72/147,913.60
  6. Step 6: Final answer
    x = 116,838.06

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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.