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Finding the Fourth Proportional to 258,941.76, 357,346.24 and 145,768.48

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Solution

The fourth proportional to 258,941.76, 357,346.24 and 145,768.48 is: 201,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,941.76 : 357,346.24 = 145,768.48 : x
  2. Step 2: Convert to fraction form
    258,941.76/357,346.24 = 145,768.48/x
  3. Step 3: Cross multiply
    258,941.76x = 357,346.24 × 145,768.48
  4. Step 4: Simplify right side
    258,941.76x = 52,089,818,238.52
  5. Step 5: Solve for x
    x = 52,089,818,238.52/258,941.76
  6. Step 6: Final answer
    x = 201,164.22

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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.