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Finding the Fourth Proportional to 72,642.08, 108,963.36 and 20,050.40

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Solution

The fourth proportional to 72,642.08, 108,963.36 and 20,050.40 is: 30,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,642.08 : 108,963.36 = 20,050.40 : x
  2. Step 2: Convert to fraction form
    72,642.08/108,963.36 = 20,050.40/x
  3. Step 3: Cross multiply
    72,642.08x = 108,963.36 × 20,050.40
  4. Step 4: Simplify right side
    72,642.08x = 2,184,758,953.34
  5. Step 5: Solve for x
    x = 2,184,758,953.34/72,642.08
  6. Step 6: Final answer
    x = 30,075.67

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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.