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Finding the Fourth Proportional to 258,756.15, 357,041.21 and 149,821.68

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Solution

The fourth proportional to 258,756.15, 357,041.21 and 149,821.68 is: 206,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,756.15 : 357,041.21 = 149,821.68 : x
  2. Step 2: Convert to fraction form
    258,756.15/357,041.21 = 149,821.68/x
  3. Step 3: Cross multiply
    258,756.15x = 357,041.21 × 149,821.68
  4. Step 4: Simplify right side
    258,756.15x = 53,492,513,162.32
  5. Step 5: Solve for x
    x = 53,492,513,162.32/258,756.15
  6. Step 6: Final answer
    x = 206,729.44

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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.