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Finding the Fourth Proportional to 144,741, 217,115.76 and 123,547.41

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Solution

The fourth proportional to 144,741, 217,115.76 and 123,547.41 is: 185,324.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,741 : 217,115.76 = 123,547.41 : x
  2. Step 2: Convert to fraction form
    144,741/217,115.76 = 123,547.41/x
  3. Step 3: Cross multiply
    144,741x = 217,115.76 × 123,547.41
  4. Step 4: Simplify right side
    144,741x = 26,824,089,818.18
  5. Step 5: Solve for x
    x = 26,824,089,818.18/144,741
  6. Step 6: Final answer
    x = 185,324.75

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1.5x scale

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.