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Finding the Fourth Proportional to 55,885, 77,122.02 and 30,735.40

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Solution

The fourth proportional to 55,885, 77,122.02 and 30,735.40 is: 42,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,885 : 77,122.02 = 30,735.40 : x
  2. Step 2: Convert to fraction form
    55,885/77,122.02 = 30,735.40/x
  3. Step 3: Cross multiply
    55,885x = 77,122.02 × 30,735.40
  4. Step 4: Simplify right side
    55,885x = 2,370,376,133.51
  5. Step 5: Solve for x
    x = 2,370,376,133.51/55,885
  6. Step 6: Final answer
    x = 42,415.25

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1.5x scale

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.