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Finding the Fourth Proportional to 189,870, 284,618.70 and 105,670.50

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Solution

The fourth proportional to 189,870, 284,618.70 and 105,670.50 is: 158,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,870 : 284,618.70 = 105,670.50 : x
  2. Step 2: Convert to fraction form
    189,870/284,618.70 = 105,670.50/x
  3. Step 3: Cross multiply
    189,870x = 284,618.70 × 105,670.50
  4. Step 4: Simplify right side
    189,870x = 30,075,800,338.35
  5. Step 5: Solve for x
    x = 30,075,800,338.35/189,870
  6. Step 6: Final answer
    x = 158,402.07

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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.