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Finding the Fourth Proportional to 30,277.10, 42,422.50 and 30,277.10

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Solution

The fourth proportional to 30,277.10, 42,422.50 and 30,277.10 is: 42,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277.10 : 42,422.50 = 30,277.10 : x
  2. Step 2: Convert to fraction form
    30,277.10/42,422.50 = 30,277.10/x
  3. Step 3: Cross multiply
    30,277.10x = 42,422.50 × 30,277.10
  4. Step 4: Simplify right side
    30,277.10x = 1,284,430,274.75
  5. Step 5: Solve for x
    x = 1,284,430,274.75/30,277.10
  6. Step 6: Final answer
    x = 42,422.50

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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.