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Finding the Fourth Proportional to 145,975.74, 218,866.38 and 52,469.34

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Solution

The fourth proportional to 145,975.74, 218,866.38 and 52,469.34 is: 78,669.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,975.74 : 218,866.38 = 52,469.34 : x
  2. Step 2: Convert to fraction form
    145,975.74/218,866.38 = 52,469.34/x
  3. Step 3: Cross multiply
    145,975.74x = 218,866.38 × 52,469.34
  4. Step 4: Simplify right side
    145,975.74x = 11,483,774,506.79
  5. Step 5: Solve for x
    x = 11,483,774,506.79/145,975.74
  6. Step 6: Final answer
    x = 78,669.06

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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.