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Finding the Fourth Proportional to 258,813.81, 357,070.61 and 149,858.67

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Solution

The fourth proportional to 258,813.81, 357,070.61 and 149,858.67 is: 206,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,813.81 : 357,070.61 = 149,858.67 : x
  2. Step 2: Convert to fraction form
    258,813.81/357,070.61 = 149,858.67/x
  3. Step 3: Cross multiply
    258,813.81x = 357,070.61 × 149,858.67
  4. Step 4: Simplify right side
    258,813.81x = 53,510,125,961.40
  5. Step 5: Solve for x
    x = 53,510,125,961.40/258,813.81
  6. Step 6: Final answer
    x = 206,751.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.