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Finding the Fourth Proportional to 57,048, 85,583.40 and 17,603.63

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Solution

The fourth proportional to 57,048, 85,583.40 and 17,603.63 is: 26,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,048 : 85,583.40 = 17,603.63 : x
  2. Step 2: Convert to fraction form
    57,048/85,583.40 = 17,603.63/x
  3. Step 3: Cross multiply
    57,048x = 85,583.40 × 17,603.63
  4. Step 4: Simplify right side
    57,048x = 1,506,578,079.83
  5. Step 5: Solve for x
    x = 1,506,578,079.83/57,048
  6. Step 6: Final answer
    x = 26,408.96

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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.