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Finding the Fourth Proportional to 55,885.68, 77,122.08 and 30,735

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Solution

The fourth proportional to 55,885.68, 77,122.08 and 30,735 is: 42,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,885.68 : 77,122.08 = 30,735 : x
  2. Step 2: Convert to fraction form
    55,885.68/77,122.08 = 30,735/x
  3. Step 3: Cross multiply
    55,885.68x = 77,122.08 × 30,735
  4. Step 4: Simplify right side
    55,885.68x = 2,370,347,128.80
  5. Step 5: Solve for x
    x = 2,370,347,128.80/55,885.68
  6. Step 6: Final answer
    x = 42,414.21

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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.