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Finding the Fourth Proportional to 50,776, 70,070.88 and 28,420

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Solution

The fourth proportional to 50,776, 70,070.88 and 28,420 is: 39,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,776 : 70,070.88 = 28,420 : x
  2. Step 2: Convert to fraction form
    50,776/70,070.88 = 28,420/x
  3. Step 3: Cross multiply
    50,776x = 70,070.88 × 28,420
  4. Step 4: Simplify right side
    50,776x = 1,991,414,409.60
  5. Step 5: Solve for x
    x = 1,991,414,409.60/50,776
  6. Step 6: Final answer
    x = 39,219.60

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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.