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Finding the Fourth Proportional to 65,784.42, 98,677.84 and 21,411

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Solution

The fourth proportional to 65,784.42, 98,677.84 and 21,411 is: 32,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784.42 : 98,677.84 = 21,411 : x
  2. Step 2: Convert to fraction form
    65,784.42/98,677.84 = 21,411/x
  3. Step 3: Cross multiply
    65,784.42x = 98,677.84 × 21,411
  4. Step 4: Simplify right side
    65,784.42x = 2,112,791,232.24
  5. Step 5: Solve for x
    x = 2,112,791,232.24/65,784.42
  6. Step 6: Final answer
    x = 32,116.89

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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.