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Finding the Fourth Proportional to 34,681.54, 51,980.72 and 19,900.66

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Solution

The fourth proportional to 34,681.54, 51,980.72 and 19,900.66 is: 29,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,681.54 : 51,980.72 = 19,900.66 : x
  2. Step 2: Convert to fraction form
    34,681.54/51,980.72 = 19,900.66/x
  3. Step 3: Cross multiply
    34,681.54x = 51,980.72 × 19,900.66
  4. Step 4: Simplify right side
    34,681.54x = 1,034,450,635.28
  5. Step 5: Solve for x
    x = 1,034,450,635.28/34,681.54
  6. Step 6: Final answer
    x = 29,827.13

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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.