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Finding the Fourth Proportional to 258,703.86, 357,010.80 and 145,526.61

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Solution

The fourth proportional to 258,703.86, 357,010.80 and 145,526.61 is: 200,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,703.86 : 357,010.80 = 145,526.61 : x
  2. Step 2: Convert to fraction form
    258,703.86/357,010.80 = 145,526.61/x
  3. Step 3: Cross multiply
    258,703.86x = 357,010.80 × 145,526.61
  4. Step 4: Simplify right side
    258,703.86x = 51,954,571,457.39
  5. Step 5: Solve for x
    x = 51,954,571,457.39/258,703.86
  6. Step 6: Final answer
    x = 200,826.43

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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.