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Finding the Fourth Proportional to 47,428.80, 71,146.80 and 14,146.26

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Solution

The fourth proportional to 47,428.80, 71,146.80 and 14,146.26 is: 21,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,428.80 : 71,146.80 = 14,146.26 : x
  2. Step 2: Convert to fraction form
    47,428.80/71,146.80 = 14,146.26/x
  3. Step 3: Cross multiply
    47,428.80x = 71,146.80 × 14,146.26
  4. Step 4: Simplify right side
    47,428.80x = 1,006,461,130.97
  5. Step 5: Solve for x
    x = 1,006,461,130.97/47,428.80
  6. Step 6: Final answer
    x = 21,220.46

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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.