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Finding the Fourth Proportional to 47,574, 65,477.34 and 40,783.37

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Solution

The fourth proportional to 47,574, 65,477.34 and 40,783.37 is: 56,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574 : 65,477.34 = 40,783.37 : x
  2. Step 2: Convert to fraction form
    47,574/65,477.34 = 40,783.37/x
  3. Step 3: Cross multiply
    47,574x = 65,477.34 × 40,783.37
  4. Step 4: Simplify right side
    47,574x = 2,670,386,256.45
  5. Step 5: Solve for x
    x = 2,670,386,256.45/47,574
  6. Step 6: Final answer
    x = 56,131.21

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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.