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Finding the Fourth Proportional to 47,115, 70,672.62 and 14,283

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Solution

The fourth proportional to 47,115, 70,672.62 and 14,283 is: 21,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115 : 70,672.62 = 14,283 : x
  2. Step 2: Convert to fraction form
    47,115/70,672.62 = 14,283/x
  3. Step 3: Cross multiply
    47,115x = 70,672.62 × 14,283
  4. Step 4: Simplify right side
    47,115x = 1,009,417,031.46
  5. Step 5: Solve for x
    x = 1,009,417,031.46/47,115
  6. Step 6: Final answer
    x = 21,424.54

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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.