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Finding the Fourth Proportional to 47,698.31, 65,786.11 and 42,253.21

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Solution

The fourth proportional to 47,698.31, 65,786.11 and 42,253.21 is: 58,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,698.31 : 65,786.11 = 42,253.21 : x
  2. Step 2: Convert to fraction form
    47,698.31/65,786.11 = 42,253.21/x
  3. Step 3: Cross multiply
    47,698.31x = 65,786.11 × 42,253.21
  4. Step 4: Simplify right side
    47,698.31x = 2,779,674,297.51
  5. Step 5: Solve for x
    x = 2,779,674,297.51/47,698.31
  6. Step 6: Final answer
    x = 58,276.16

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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.