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Finding the Fourth Proportional to 30,549.56, 45,829.80 and 20,041.02

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Solution

The fourth proportional to 30,549.56, 45,829.80 and 20,041.02 is: 30,065.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.56 : 45,829.80 = 20,041.02 : x
  2. Step 2: Convert to fraction form
    30,549.56/45,829.80 = 20,041.02/x
  3. Step 3: Cross multiply
    30,549.56x = 45,829.80 × 20,041.02
  4. Step 4: Simplify right side
    30,549.56x = 918,475,938.40
  5. Step 5: Solve for x
    x = 918,475,938.40/30,549.56
  6. Step 6: Final answer
    x = 30,065.12

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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.