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Finding the Fourth Proportional to 65,716.16, 98,602.49 and 21,356.51

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Solution

The fourth proportional to 65,716.16, 98,602.49 and 21,356.51 is: 32,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.16 : 98,602.49 = 21,356.51 : x
  2. Step 2: Convert to fraction form
    65,716.16/98,602.49 = 21,356.51/x
  3. Step 3: Cross multiply
    65,716.16x = 98,602.49 × 21,356.51
  4. Step 4: Simplify right side
    65,716.16x = 2,105,804,710.42
  5. Step 5: Solve for x
    x = 2,105,804,710.42/65,716.16
  6. Step 6: Final answer
    x = 32,043.94

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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.