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Finding the Fourth Proportional to 65,343, 98,014.50 and 28,407

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Solution

The fourth proportional to 65,343, 98,014.50 and 28,407 is: 42,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343 : 98,014.50 = 28,407 : x
  2. Step 2: Convert to fraction form
    65,343/98,014.50 = 28,407/x
  3. Step 3: Cross multiply
    65,343x = 98,014.50 × 28,407
  4. Step 4: Simplify right side
    65,343x = 2,784,297,901.50
  5. Step 5: Solve for x
    x = 2,784,297,901.50/65,343
  6. Step 6: Final answer
    x = 42,610.50

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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.