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Finding the Fourth Proportional to 559,829.86, 839,745.40 and 139,105.74

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Solution

The fourth proportional to 559,829.86, 839,745.40 and 139,105.74 is: 208,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,829.86 : 839,745.40 = 139,105.74 : x
  2. Step 2: Convert to fraction form
    559,829.86/839,745.40 = 139,105.74/x
  3. Step 3: Cross multiply
    559,829.86x = 839,745.40 × 139,105.74
  4. Step 4: Simplify right side
    559,829.86x = 116,813,400,732.11
  5. Step 5: Solve for x
    x = 116,813,400,732.11/559,829.86
  6. Step 6: Final answer
    x = 208,658.75

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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.