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Finding the Fourth Proportional to 85,714.61, 128,580.37 and 29,547.33

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Solution

The fourth proportional to 85,714.61, 128,580.37 and 29,547.33 is: 44,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,714.61 : 128,580.37 = 29,547.33 : x
  2. Step 2: Convert to fraction form
    85,714.61/128,580.37 = 29,547.33/x
  3. Step 3: Cross multiply
    85,714.61x = 128,580.37 × 29,547.33
  4. Step 4: Simplify right side
    85,714.61x = 3,799,206,623.91
  5. Step 5: Solve for x
    x = 3,799,206,623.91/85,714.61
  6. Step 6: Final answer
    x = 44,323.91

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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.