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Finding the Fourth Proportional to 98,714.68, 147,982.42 and 51,274.32

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Solution

The fourth proportional to 98,714.68, 147,982.42 and 51,274.32 is: 76,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714.68 : 147,982.42 = 51,274.32 : x
  2. Step 2: Convert to fraction form
    98,714.68/147,982.42 = 51,274.32/x
  3. Step 3: Cross multiply
    98,714.68x = 147,982.42 × 51,274.32
  4. Step 4: Simplify right side
    98,714.68x = 7,587,697,957.45
  5. Step 5: Solve for x
    x = 7,587,697,957.45/98,714.68
  6. Step 6: Final answer
    x = 76,864.94

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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.