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Finding the Fourth Proportional to 65,212.64, 90,014.88 and 38,354

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Solution

The fourth proportional to 65,212.64, 90,014.88 and 38,354 is: 52,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.64 : 90,014.88 = 38,354 : x
  2. Step 2: Convert to fraction form
    65,212.64/90,014.88 = 38,354/x
  3. Step 3: Cross multiply
    65,212.64x = 90,014.88 × 38,354
  4. Step 4: Simplify right side
    65,212.64x = 3,452,430,707.52
  5. Step 5: Solve for x
    x = 3,452,430,707.52/65,212.64
  6. Step 6: Final answer
    x = 52,941.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.