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Finding the Fourth Proportional to 50,820, 70,131.60 and 28,464

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Solution

The fourth proportional to 50,820, 70,131.60 and 28,464 is: 39,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,820 : 70,131.60 = 28,464 : x
  2. Step 2: Convert to fraction form
    50,820/70,131.60 = 28,464/x
  3. Step 3: Cross multiply
    50,820x = 70,131.60 × 28,464
  4. Step 4: Simplify right side
    50,820x = 1,996,225,862.40
  5. Step 5: Solve for x
    x = 1,996,225,862.40/50,820
  6. Step 6: Final answer
    x = 39,280.32

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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.