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Finding the Fourth Proportional to 82,507, 123,762.93 and 20,177.50

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Solution

The fourth proportional to 82,507, 123,762.93 and 20,177.50 is: 30,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507 : 123,762.93 = 20,177.50 : x
  2. Step 2: Convert to fraction form
    82,507/123,762.93 = 20,177.50/x
  3. Step 3: Cross multiply
    82,507x = 123,762.93 × 20,177.50
  4. Step 4: Simplify right side
    82,507x = 2,497,226,520.08
  5. Step 5: Solve for x
    x = 2,497,226,520.08/82,507
  6. Step 6: Final answer
    x = 30,266.84

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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.