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Finding the Fourth Proportional to 85,798.72, 128,610.60 and 52,498

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Solution

The fourth proportional to 85,798.72, 128,610.60 and 52,498 is: 78,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,798.72 : 128,610.60 = 52,498 : x
  2. Step 2: Convert to fraction form
    85,798.72/128,610.60 = 52,498/x
  3. Step 3: Cross multiply
    85,798.72x = 128,610.60 × 52,498
  4. Step 4: Simplify right side
    85,798.72x = 6,751,799,278.80
  5. Step 5: Solve for x
    x = 6,751,799,278.80/85,798.72
  6. Step 6: Final answer
    x = 78,693.47

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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.