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Finding the Fourth Proportional to 189,988, 262,288.08 and 142,224.16

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Solution

The fourth proportional to 189,988, 262,288.08 and 142,224.16 is: 196,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,988 : 262,288.08 = 142,224.16 : x
  2. Step 2: Convert to fraction form
    189,988/262,288.08 = 142,224.16/x
  3. Step 3: Cross multiply
    189,988x = 262,288.08 × 142,224.16
  4. Step 4: Simplify right side
    189,988x = 37,303,701,856.01
  5. Step 5: Solve for x
    x = 37,303,701,856.01/189,988
  6. Step 6: Final answer
    x = 196,347.67

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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.