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Finding the Fourth Proportional to 162,216, 223,855.74 and 90,597.06

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Solution

The fourth proportional to 162,216, 223,855.74 and 90,597.06 is: 125,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,216 : 223,855.74 = 90,597.06 : x
  2. Step 2: Convert to fraction form
    162,216/223,855.74 = 90,597.06/x
  3. Step 3: Cross multiply
    162,216x = 223,855.74 × 90,597.06
  4. Step 4: Simplify right side
    162,216x = 20,280,671,908.12
  5. Step 5: Solve for x
    x = 20,280,671,908.12/162,216
  6. Step 6: Final answer
    x = 125,022.64

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1.5x scale

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.