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Finding the Fourth Proportional to 55,809.69, 77,018.78 and 30,316.05

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Solution

The fourth proportional to 55,809.69, 77,018.78 and 30,316.05 is: 41,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809.69 : 77,018.78 = 30,316.05 : x
  2. Step 2: Convert to fraction form
    55,809.69/77,018.78 = 30,316.05/x
  3. Step 3: Cross multiply
    55,809.69x = 77,018.78 × 30,316.05
  4. Step 4: Simplify right side
    55,809.69x = 2,334,905,033.84
  5. Step 5: Solve for x
    x = 2,334,905,033.84/55,809.69
  6. Step 6: Final answer
    x = 41,836.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.