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Finding the Fourth Proportional to 65,483.32, 98,238.63 and 21,114.55

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Solution

The fourth proportional to 65,483.32, 98,238.63 and 21,114.55 is: 31,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,483.32 : 98,238.63 = 21,114.55 : x
  2. Step 2: Convert to fraction form
    65,483.32/98,238.63 = 21,114.55/x
  3. Step 3: Cross multiply
    65,483.32x = 98,238.63 × 21,114.55
  4. Step 4: Simplify right side
    65,483.32x = 2,074,264,465.07
  5. Step 5: Solve for x
    x = 2,074,264,465.07/65,483.32
  6. Step 6: Final answer
    x = 31,676.23

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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.