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Finding the Fourth Proportional to 154,751.42, 232,121.66 and 42,429.84

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Solution

The fourth proportional to 154,751.42, 232,121.66 and 42,429.84 is: 63,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,751.42 : 232,121.66 = 42,429.84 : x
  2. Step 2: Convert to fraction form
    154,751.42/232,121.66 = 42,429.84/x
  3. Step 3: Cross multiply
    154,751.42x = 232,121.66 × 42,429.84
  4. Step 4: Simplify right side
    154,751.42x = 9,848,883,811.73
  5. Step 5: Solve for x
    x = 9,848,883,811.73/154,751.42
  6. Step 6: Final answer
    x = 63,643.25

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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.