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Finding the Fourth Proportional to 77,681.84, 116,537.78 and 30,295.01

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Solution

The fourth proportional to 77,681.84, 116,537.78 and 30,295.01 is: 45,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,681.84 : 116,537.78 = 30,295.01 : x
  2. Step 2: Convert to fraction form
    77,681.84/116,537.78 = 30,295.01/x
  3. Step 3: Cross multiply
    77,681.84x = 116,537.78 × 30,295.01
  4. Step 4: Simplify right side
    77,681.84x = 3,530,513,577.56
  5. Step 5: Solve for x
    x = 3,530,513,577.56/77,681.84
  6. Step 6: Final answer
    x = 45,448.38

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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.