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Finding the Fourth Proportional to 65,784.53, 98,677.71 and 21,411.51

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Solution

The fourth proportional to 65,784.53, 98,677.71 and 21,411.51 is: 32,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,784.53 : 98,677.71 = 21,411.51 : x
  2. Step 2: Convert to fraction form
    65,784.53/98,677.71 = 21,411.51/x
  3. Step 3: Cross multiply
    65,784.53x = 98,677.71 × 21,411.51
  4. Step 4: Simplify right side
    65,784.53x = 2,112,838,774.44
  5. Step 5: Solve for x
    x = 2,112,838,774.44/65,784.53
  6. Step 6: Final answer
    x = 32,117.57

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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.