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Finding the Fourth Proportional to 85,714.69, 128,580.49 and 29,547.41

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Solution

The fourth proportional to 85,714.69, 128,580.49 and 29,547.41 is: 44,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,714.69 : 128,580.49 = 29,547.41 : x
  2. Step 2: Convert to fraction form
    85,714.69/128,580.49 = 29,547.41/x
  3. Step 3: Cross multiply
    85,714.69x = 128,580.49 × 29,547.41
  4. Step 4: Simplify right side
    85,714.69x = 3,799,220,456.03
  5. Step 5: Solve for x
    x = 3,799,220,456.03/85,714.69
  6. Step 6: Final answer
    x = 44,324.03

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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.