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Finding the Fourth Proportional to 47,307.72, 70,977.84 and 21,030.84

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Solution

The fourth proportional to 47,307.72, 70,977.84 and 21,030.84 is: 31,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,307.72 : 70,977.84 = 21,030.84 : x
  2. Step 2: Convert to fraction form
    47,307.72/70,977.84 = 21,030.84/x
  3. Step 3: Cross multiply
    47,307.72x = 70,977.84 × 21,030.84
  4. Step 4: Simplify right side
    47,307.72x = 1,492,723,596.59
  5. Step 5: Solve for x
    x = 1,492,723,596.59/47,307.72
  6. Step 6: Final answer
    x = 31,553.49

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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.