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Finding the Fourth Proportional to 145,863.86, 218,664.48 and 52,347.74

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Solution

The fourth proportional to 145,863.86, 218,664.48 and 52,347.74 is: 78,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,863.86 : 218,664.48 = 52,347.74 : x
  2. Step 2: Convert to fraction form
    145,863.86/218,664.48 = 52,347.74/x
  3. Step 3: Cross multiply
    145,863.86x = 218,664.48 × 52,347.74
  4. Step 4: Simplify right side
    145,863.86x = 11,446,591,346.28
  5. Step 5: Solve for x
    x = 11,446,591,346.28/145,863.86
  6. Step 6: Final answer
    x = 78,474.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.