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Finding the Fourth Proportional to 258,782.63, 357,111.65 and 144,057.53

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Solution

The fourth proportional to 258,782.63, 357,111.65 and 144,057.53 is: 198,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,782.63 : 357,111.65 = 144,057.53 : x
  2. Step 2: Convert to fraction form
    258,782.63/357,111.65 = 144,057.53/x
  3. Step 3: Cross multiply
    258,782.63x = 357,111.65 × 144,057.53
  4. Step 4: Simplify right side
    258,782.63x = 51,444,620,447.67
  5. Step 5: Solve for x
    x = 51,444,620,447.67/258,782.63
  6. Step 6: Final answer
    x = 198,794.72

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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.