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Finding the Fourth Proportional to 65,894.78, 90,931.20 and 39,039.78

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Solution

The fourth proportional to 65,894.78, 90,931.20 and 39,039.78 is: 53,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.78 : 90,931.20 = 39,039.78 : x
  2. Step 2: Convert to fraction form
    65,894.78/90,931.20 = 39,039.78/x
  3. Step 3: Cross multiply
    65,894.78x = 90,931.20 × 39,039.78
  4. Step 4: Simplify right side
    65,894.78x = 3,549,934,043.14
  5. Step 5: Solve for x
    x = 3,549,934,043.14/65,894.78
  6. Step 6: Final answer
    x = 53,872.77

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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.