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Finding the Fourth Proportional to 42,477, 63,744.75 and 14,775

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Solution

The fourth proportional to 42,477, 63,744.75 and 14,775 is: 22,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477 : 63,744.75 = 14,775 : x
  2. Step 2: Convert to fraction form
    42,477/63,744.75 = 14,775/x
  3. Step 3: Cross multiply
    42,477x = 63,744.75 × 14,775
  4. Step 4: Simplify right side
    42,477x = 941,828,681.25
  5. Step 5: Solve for x
    x = 941,828,681.25/42,477
  6. Step 6: Final answer
    x = 22,172.67

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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.