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Finding the Fourth Proportional to 30,205.30, 42,374.90 and 30,205.30

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Solution

The fourth proportional to 30,205.30, 42,374.90 and 30,205.30 is: 42,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.30 : 42,374.90 = 30,205.30 : x
  2. Step 2: Convert to fraction form
    30,205.30/42,374.90 = 30,205.30/x
  3. Step 3: Cross multiply
    30,205.30x = 42,374.90 × 30,205.30
  4. Step 4: Simplify right side
    30,205.30x = 1,279,946,566.97
  5. Step 5: Solve for x
    x = 1,279,946,566.97/30,205.30
  6. Step 6: Final answer
    x = 42,374.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.