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Finding the Fourth Proportional to 54,302.70, 81,405.45 and 21,011.70

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Solution

The fourth proportional to 54,302.70, 81,405.45 and 21,011.70 is: 31,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.70 : 81,405.45 = 21,011.70 : x
  2. Step 2: Convert to fraction form
    54,302.70/81,405.45 = 21,011.70/x
  3. Step 3: Cross multiply
    54,302.70x = 81,405.45 × 21,011.70
  4. Step 4: Simplify right side
    54,302.70x = 1,710,466,893.77
  5. Step 5: Solve for x
    x = 1,710,466,893.77/54,302.70
  6. Step 6: Final answer
    x = 31,498.74

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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.