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Finding the Fourth Proportional to 30,538.74, 45,808.74 and 20,075.49

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Solution

The fourth proportional to 30,538.74, 45,808.74 and 20,075.49 is: 30,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.74 : 45,808.74 = 20,075.49 : x
  2. Step 2: Convert to fraction form
    30,538.74/45,808.74 = 20,075.49/x
  3. Step 3: Cross multiply
    30,538.74x = 45,808.74 × 20,075.49
  4. Step 4: Simplify right side
    30,538.74x = 919,632,901.78
  5. Step 5: Solve for x
    x = 919,632,901.78/30,538.74
  6. Step 6: Final answer
    x = 30,113.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.