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Finding the Fourth Proportional to 51,968, 77,878.56 and 25,636.16

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Solution

The fourth proportional to 51,968, 77,878.56 and 25,636.16 is: 38,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,968 : 77,878.56 = 25,636.16 : x
  2. Step 2: Convert to fraction form
    51,968/77,878.56 = 25,636.16/x
  3. Step 3: Cross multiply
    51,968x = 77,878.56 × 25,636.16
  4. Step 4: Simplify right side
    51,968x = 1,996,507,224.73
  5. Step 5: Solve for x
    x = 1,996,507,224.73/51,968
  6. Step 6: Final answer
    x = 38,418.01

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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.