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Finding the Fourth Proportional to 47,356, 71,034.54 and 14,075.20

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Solution

The fourth proportional to 47,356, 71,034.54 and 14,075.20 is: 21,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,356 : 71,034.54 = 14,075.20 : x
  2. Step 2: Convert to fraction form
    47,356/71,034.54 = 14,075.20/x
  3. Step 3: Cross multiply
    47,356x = 71,034.54 × 14,075.20
  4. Step 4: Simplify right side
    47,356x = 999,825,357.41
  5. Step 5: Solve for x
    x = 999,825,357.41/47,356
  6. Step 6: Final answer
    x = 21,112.96

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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.