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Finding the Fourth Proportional to 65,852.02, 98,768.01 and 21,478.71

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Solution

The fourth proportional to 65,852.02, 98,768.01 and 21,478.71 is: 32,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852.02 : 98,768.01 = 21,478.71 : x
  2. Step 2: Convert to fraction form
    65,852.02/98,768.01 = 21,478.71/x
  3. Step 3: Cross multiply
    65,852.02x = 98,768.01 × 21,478.71
  4. Step 4: Simplify right side
    65,852.02x = 2,121,409,444.07
  5. Step 5: Solve for x
    x = 2,121,409,444.07/65,852.02
  6. Step 6: Final answer
    x = 32,214.80

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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.