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Finding the Fourth Proportional to 15,106.47, 20,840.23 and 10,065.78

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Solution

The fourth proportional to 15,106.47, 20,840.23 and 10,065.78 is: 13,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.47 : 20,840.23 = 10,065.78 : x
  2. Step 2: Convert to fraction form
    15,106.47/20,840.23 = 10,065.78/x
  3. Step 3: Cross multiply
    15,106.47x = 20,840.23 × 10,065.78
  4. Step 4: Simplify right side
    15,106.47x = 209,773,205.14
  5. Step 5: Solve for x
    x = 209,773,205.14/15,106.47
  6. Step 6: Final answer
    x = 13,886.31

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