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Finding the Fourth Proportional to 50,637.84, 69,874.20 and 30,494.40

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Solution

The fourth proportional to 50,637.84, 69,874.20 and 30,494.40 is: 42,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,637.84 : 69,874.20 = 30,494.40 : x
  2. Step 2: Convert to fraction form
    50,637.84/69,874.20 = 30,494.40/x
  3. Step 3: Cross multiply
    50,637.84x = 69,874.20 × 30,494.40
  4. Step 4: Simplify right side
    50,637.84x = 2,130,771,804.48
  5. Step 5: Solve for x
    x = 2,130,771,804.48/50,637.84
  6. Step 6: Final answer
    x = 42,078.65

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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.