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Finding the Fourth Proportional to 137,776.40, 206,664.60 and 123,779.60

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Solution

The fourth proportional to 137,776.40, 206,664.60 and 123,779.60 is: 185,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,776.40 : 206,664.60 = 123,779.60 : x
  2. Step 2: Convert to fraction form
    137,776.40/206,664.60 = 123,779.60/x
  3. Step 3: Cross multiply
    137,776.40x = 206,664.60 × 123,779.60
  4. Step 4: Simplify right side
    137,776.40x = 25,580,861,522.16
  5. Step 5: Solve for x
    x = 25,580,861,522.16/137,776.40
  6. Step 6: Final answer
    x = 185,669.40

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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.