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Finding the Fourth Proportional to 211,993.30, 317,990.13 and 78,856.30

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Solution

The fourth proportional to 211,993.30, 317,990.13 and 78,856.30 is: 118,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,993.30 : 317,990.13 = 78,856.30 : x
  2. Step 2: Convert to fraction form
    211,993.30/317,990.13 = 78,856.30/x
  3. Step 3: Cross multiply
    211,993.30x = 317,990.13 × 78,856.30
  4. Step 4: Simplify right side
    211,993.30x = 25,075,525,088.32
  5. Step 5: Solve for x
    x = 25,075,525,088.32/211,993.30
  6. Step 6: Final answer
    x = 118,284.52

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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.