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Finding the Fourth Proportional to 91,781.78, 137,685.81 and 40,547.51

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Solution

The fourth proportional to 91,781.78, 137,685.81 and 40,547.51 is: 60,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,781.78 : 137,685.81 = 40,547.51 : x
  2. Step 2: Convert to fraction form
    91,781.78/137,685.81 = 40,547.51/x
  3. Step 3: Cross multiply
    91,781.78x = 137,685.81 × 40,547.51
  4. Step 4: Simplify right side
    91,781.78x = 5,582,817,102.05
  5. Step 5: Solve for x
    x = 5,582,817,102.05/91,781.78
  6. Step 6: Final answer
    x = 60,827.07

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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.