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Finding the Fourth Proportional to 98,009.60, 146,722.80 and 64,767.20

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Solution

The fourth proportional to 98,009.60, 146,722.80 and 64,767.20 is: 96,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,009.60 : 146,722.80 = 64,767.20 : x
  2. Step 2: Convert to fraction form
    98,009.60/146,722.80 = 64,767.20/x
  3. Step 3: Cross multiply
    98,009.60x = 146,722.80 × 64,767.20
  4. Step 4: Simplify right side
    98,009.60x = 9,502,824,932.16
  5. Step 5: Solve for x
    x = 9,502,824,932.16/98,009.60
  6. Step 6: Final answer
    x = 96,958.10

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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.