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Finding the Fourth Proportional to 65,428.88, 98,143.37 and 21,055.63

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Solution

The fourth proportional to 65,428.88, 98,143.37 and 21,055.63 is: 31,583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,428.88 : 98,143.37 = 21,055.63 : x
  2. Step 2: Convert to fraction form
    65,428.88/98,143.37 = 21,055.63/x
  3. Step 3: Cross multiply
    65,428.88x = 98,143.37 × 21,055.63
  4. Step 4: Simplify right side
    65,428.88x = 2,066,470,043.19
  5. Step 5: Solve for x
    x = 2,066,470,043.19/65,428.88
  6. Step 6: Final answer
    x = 31,583.45

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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.