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Finding the Fourth Proportional to 84,075.52, 126,025.60 and 31,462.08

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Solution

The fourth proportional to 84,075.52, 126,025.60 and 31,462.08 is: 47,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,075.52 : 126,025.60 = 31,462.08 : x
  2. Step 2: Convert to fraction form
    84,075.52/126,025.60 = 31,462.08/x
  3. Step 3: Cross multiply
    84,075.52x = 126,025.60 × 31,462.08
  4. Step 4: Simplify right side
    84,075.52x = 3,965,027,509.25
  5. Step 5: Solve for x
    x = 3,965,027,509.25/84,075.52
  6. Step 6: Final answer
    x = 47,160.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.