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Finding the Fourth Proportional to 145,893.27, 218,938.25 and 51,124.30

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Solution

The fourth proportional to 145,893.27, 218,938.25 and 51,124.30 is: 76,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893.27 : 218,938.25 = 51,124.30 : x
  2. Step 2: Convert to fraction form
    145,893.27/218,938.25 = 51,124.30/x
  3. Step 3: Cross multiply
    145,893.27x = 218,938.25 × 51,124.30
  4. Step 4: Simplify right side
    145,893.27x = 11,193,064,646.66
  5. Step 5: Solve for x
    x = 11,193,064,646.66/145,893.27
  6. Step 6: Final answer
    x = 76,720.91

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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.