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Finding the Fourth Proportional to 56,729, 85,106.16 and 17,289.20

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Solution

The fourth proportional to 56,729, 85,106.16 and 17,289.20 is: 25,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,729 : 85,106.16 = 17,289.20 : x
  2. Step 2: Convert to fraction form
    56,729/85,106.16 = 17,289.20/x
  3. Step 3: Cross multiply
    56,729x = 85,106.16 × 17,289.20
  4. Step 4: Simplify right side
    56,729x = 1,471,417,421.47
  5. Step 5: Solve for x
    x = 1,471,417,421.47/56,729
  6. Step 6: Final answer
    x = 25,937.66

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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.