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Finding the Fourth Proportional to 47,172.48, 70,783.07 and 20,895.81

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Solution

The fourth proportional to 47,172.48, 70,783.07 and 20,895.81 is: 31,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,172.48 : 70,783.07 = 20,895.81 : x
  2. Step 2: Convert to fraction form
    47,172.48/70,783.07 = 20,895.81/x
  3. Step 3: Cross multiply
    47,172.48x = 70,783.07 × 20,895.81
  4. Step 4: Simplify right side
    47,172.48x = 1,479,069,477.46
  5. Step 5: Solve for x
    x = 1,479,069,477.46/47,172.48
  6. Step 6: Final answer
    x = 31,354.50

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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.