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Finding the Fourth Proportional to 65,784.50, 98,681.64 and 21,407.84

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Solution

The fourth proportional to 65,784.50, 98,681.64 and 21,407.84 is: 32,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784.50 : 98,681.64 = 21,407.84 : x
  2. Step 2: Convert to fraction form
    65,784.50/98,681.64 = 21,407.84/x
  3. Step 3: Cross multiply
    65,784.50x = 98,681.64 × 21,407.84
  4. Step 4: Simplify right side
    65,784.50x = 2,112,560,760.06
  5. Step 5: Solve for x
    x = 2,112,560,760.06/65,784.50
  6. Step 6: Final answer
    x = 32,113.35

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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.