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Finding the Fourth Proportional to 65,214.99, 97,814.31 and 20,838.06

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Solution

The fourth proportional to 65,214.99, 97,814.31 and 20,838.06 is: 31,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,214.99 : 97,814.31 = 20,838.06 : x
  2. Step 2: Convert to fraction form
    65,214.99/97,814.31 = 20,838.06/x
  3. Step 3: Cross multiply
    65,214.99x = 97,814.31 × 20,838.06
  4. Step 4: Simplify right side
    65,214.99x = 2,038,260,460.64
  5. Step 5: Solve for x
    x = 2,038,260,460.64/65,214.99
  6. Step 6: Final answer
    x = 31,254.48

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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.