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Finding the Fourth Proportional to 145,866.78, 218,712.69 and 57,014.46

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Solution

The fourth proportional to 145,866.78, 218,712.69 and 57,014.46 is: 85,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,866.78 : 218,712.69 = 57,014.46 : x
  2. Step 2: Convert to fraction form
    145,866.78/218,712.69 = 57,014.46/x
  3. Step 3: Cross multiply
    145,866.78x = 218,712.69 × 57,014.46
  4. Step 4: Simplify right side
    145,866.78x = 12,469,785,915.50
  5. Step 5: Solve for x
    x = 12,469,785,915.50/145,866.78
  6. Step 6: Final answer
    x = 85,487.50

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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.