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Finding the Fourth Proportional to 213,075.30, 319,391.55 and 86,661.30

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Solution

The fourth proportional to 213,075.30, 319,391.55 and 86,661.30 is: 129,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,075.30 : 319,391.55 = 86,661.30 : x
  2. Step 2: Convert to fraction form
    213,075.30/319,391.55 = 86,661.30/x
  3. Step 3: Cross multiply
    213,075.30x = 319,391.55 × 86,661.30
  4. Step 4: Simplify right side
    213,075.30x = 27,678,886,932.02
  5. Step 5: Solve for x
    x = 27,678,886,932.02/213,075.30
  6. Step 6: Final answer
    x = 129,901.90

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1.5x scale

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.