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Finding the Fourth Proportional to 51,653, 71,281.14 and 28,101

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Solution

The fourth proportional to 51,653, 71,281.14 and 28,101 is: 38,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,653 : 71,281.14 = 28,101 : x
  2. Step 2: Convert to fraction form
    51,653/71,281.14 = 28,101/x
  3. Step 3: Cross multiply
    51,653x = 71,281.14 × 28,101
  4. Step 4: Simplify right side
    51,653x = 2,003,071,315.14
  5. Step 5: Solve for x
    x = 2,003,071,315.14/51,653
  6. Step 6: Final answer
    x = 38,779.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.