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Finding the Fourth Proportional to 199,885.48, 299,784.08 and 57,699.87

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Solution

The fourth proportional to 199,885.48, 299,784.08 and 57,699.87 is: 86,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,885.48 : 299,784.08 = 57,699.87 : x
  2. Step 2: Convert to fraction form
    199,885.48/299,784.08 = 57,699.87/x
  3. Step 3: Cross multiply
    199,885.48x = 299,784.08 × 57,699.87
  4. Step 4: Simplify right side
    199,885.48x = 17,297,501,901.57
  5. Step 5: Solve for x
    x = 17,297,501,901.57/199,885.48
  6. Step 6: Final answer
    x = 86,537.06

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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.