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Finding the Fourth Proportional to 162,343.75, 223,889.35 and 101,920.07

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Solution

The fourth proportional to 162,343.75, 223,889.35 and 101,920.07 is: 140,558.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,343.75 : 223,889.35 = 101,920.07 : x
  2. Step 2: Convert to fraction form
    162,343.75/223,889.35 = 101,920.07/x
  3. Step 3: Cross multiply
    162,343.75x = 223,889.35 × 101,920.07
  4. Step 4: Simplify right side
    162,343.75x = 22,818,818,224.25
  5. Step 5: Solve for x
    x = 22,818,818,224.25/162,343.75
  6. Step 6: Final answer
    x = 140,558.65

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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.