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Finding the Fourth Proportional to 189,988, 285,064.08 and 101,216.32

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Solution

The fourth proportional to 189,988, 285,064.08 and 101,216.32 is: 151,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,988 : 285,064.08 = 101,216.32 : x
  2. Step 2: Convert to fraction form
    189,988/285,064.08 = 101,216.32/x
  3. Step 3: Cross multiply
    189,988x = 285,064.08 × 101,216.32
  4. Step 4: Simplify right side
    189,988x = 28,853,137,141.79
  5. Step 5: Solve for x
    x = 28,853,137,141.79/189,988
  6. Step 6: Final answer
    x = 151,868.21

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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.