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Finding the Fourth Proportional to 145,980.76, 218,873.86 and 52,474.36

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Solution

The fourth proportional to 145,980.76, 218,873.86 and 52,474.36 is: 78,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,980.76 : 218,873.86 = 52,474.36 : x
  2. Step 2: Convert to fraction form
    145,980.76/218,873.86 = 52,474.36/x
  3. Step 3: Cross multiply
    145,980.76x = 218,873.86 × 52,474.36
  4. Step 4: Simplify right side
    145,980.76x = 11,485,265,724.23
  5. Step 5: Solve for x
    x = 11,485,265,724.23/145,980.76
  6. Step 6: Final answer
    x = 78,676.57

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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.