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Finding the Fourth Proportional to 77,136.16, 115,661.04 and 30,376.48

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Solution

The fourth proportional to 77,136.16, 115,661.04 and 30,376.48 is: 45,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136.16 : 115,661.04 = 30,376.48 : x
  2. Step 2: Convert to fraction form
    77,136.16/115,661.04 = 30,376.48/x
  3. Step 3: Cross multiply
    77,136.16x = 115,661.04 × 30,376.48
  4. Step 4: Simplify right side
    77,136.16x = 3,513,375,268.34
  5. Step 5: Solve for x
    x = 3,513,375,268.34/77,136.16
  6. Step 6: Final answer
    x = 45,547.71

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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.