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Finding the Fourth Proportional to 85,989, 128,983.48 and 56,400

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Solution

The fourth proportional to 85,989, 128,983.48 and 56,400 is: 84,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,989 : 128,983.48 = 56,400 : x
  2. Step 2: Convert to fraction form
    85,989/128,983.48 = 56,400/x
  3. Step 3: Cross multiply
    85,989x = 128,983.48 × 56,400
  4. Step 4: Simplify right side
    85,989x = 7,274,668,272
  5. Step 5: Solve for x
    x = 7,274,668,272/85,989
  6. Step 6: Final answer
    x = 84,599.99

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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.