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Finding the Fourth Proportional to 145,687.83, 218,661.54 and 74,658.84

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Solution

The fourth proportional to 145,687.83, 218,661.54 and 74,658.84 is: 112,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,687.83 : 218,661.54 = 74,658.84 : x
  2. Step 2: Convert to fraction form
    145,687.83/218,661.54 = 74,658.84/x
  3. Step 3: Cross multiply
    145,687.83x = 218,661.54 × 74,658.84
  4. Step 4: Simplify right side
    145,687.83x = 16,325,016,929.01
  5. Step 5: Solve for x
    x = 16,325,016,929.01/145,687.83
  6. Step 6: Final answer
    x = 112,054.77

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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.