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Finding the Fourth Proportional to 189,977.84, 285,292.77 and 168,678.69

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Solution

The fourth proportional to 189,977.84, 285,292.77 and 168,678.69 is: 253,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,977.84 : 285,292.77 = 168,678.69 : x
  2. Step 2: Convert to fraction form
    189,977.84/285,292.77 = 168,678.69/x
  3. Step 3: Cross multiply
    189,977.84x = 285,292.77 × 168,678.69
  4. Step 4: Simplify right side
    189,977.84x = 48,122,810,710.07
  5. Step 5: Solve for x
    x = 48,122,810,710.07/189,977.84
  6. Step 6: Final answer
    x = 253,307.49

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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.