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Finding the Fourth Proportional to 259,218, 357,720.84 and 139,986

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Solution

The fourth proportional to 259,218, 357,720.84 and 139,986 is: 193,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,218 : 357,720.84 = 139,986 : x
  2. Step 2: Convert to fraction form
    259,218/357,720.84 = 139,986/x
  3. Step 3: Cross multiply
    259,218x = 357,720.84 × 139,986
  4. Step 4: Simplify right side
    259,218x = 50,075,909,508.24
  5. Step 5: Solve for x
    x = 50,075,909,508.24/259,218
  6. Step 6: Final answer
    x = 193,180.68

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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.