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Finding the Fourth Proportional to 47,161, 65,048.88 and 40,038.40

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Solution

The fourth proportional to 47,161, 65,048.88 and 40,038.40 is: 55,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,161 : 65,048.88 = 40,038.40 : x
  2. Step 2: Convert to fraction form
    47,161/65,048.88 = 40,038.40/x
  3. Step 3: Cross multiply
    47,161x = 65,048.88 × 40,038.40
  4. Step 4: Simplify right side
    47,161x = 2,604,453,076.99
  5. Step 5: Solve for x
    x = 2,604,453,076.99/47,161
  6. Step 6: Final answer
    x = 55,224.72

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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.