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Finding the Fourth Proportional to 98,415.47, 135,878.71 and 75,714.41

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Solution

The fourth proportional to 98,415.47, 135,878.71 and 75,714.41 is: 104,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415.47 : 135,878.71 = 75,714.41 : x
  2. Step 2: Convert to fraction form
    98,415.47/135,878.71 = 75,714.41/x
  3. Step 3: Cross multiply
    98,415.47x = 135,878.71 × 75,714.41
  4. Step 4: Simplify right side
    98,415.47x = 10,287,976,359.21
  5. Step 5: Solve for x
    x = 10,287,976,359.21/98,415.47
  6. Step 6: Final answer
    x = 104,536.17

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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.