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Finding the Fourth Proportional to 258,866.08, 388,140.55 and 100,910

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Solution

The fourth proportional to 258,866.08, 388,140.55 and 100,910 is: 151,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,866.08 : 388,140.55 = 100,910 : x
  2. Step 2: Convert to fraction form
    258,866.08/388,140.55 = 100,910/x
  3. Step 3: Cross multiply
    258,866.08x = 388,140.55 × 100,910
  4. Step 4: Simplify right side
    258,866.08x = 39,167,262,900.50
  5. Step 5: Solve for x
    x = 39,167,262,900.50/258,866.08
  6. Step 6: Final answer
    x = 151,303.19

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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.