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Finding the Fourth Proportional to 85,730, 128,595 and 38,996.24

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Solution

The fourth proportional to 85,730, 128,595 and 38,996.24 is: 58,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730 : 128,595 = 38,996.24 : x
  2. Step 2: Convert to fraction form
    85,730/128,595 = 38,996.24/x
  3. Step 3: Cross multiply
    85,730x = 128,595 × 38,996.24
  4. Step 4: Simplify right side
    85,730x = 5,014,721,482.80
  5. Step 5: Solve for x
    x = 5,014,721,482.80/85,730
  6. Step 6: Final answer
    x = 58,494.36

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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.