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Finding the Fourth Proportional to 189,751.12, 284,036.19 and 119,482.81

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Solution

The fourth proportional to 189,751.12, 284,036.19 and 119,482.81 is: 178,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,751.12 : 284,036.19 = 119,482.81 : x
  2. Step 2: Convert to fraction form
    189,751.12/284,036.19 = 119,482.81/x
  3. Step 3: Cross multiply
    189,751.12x = 284,036.19 × 119,482.81
  4. Step 4: Simplify right side
    189,751.12x = 33,937,442,122.89
  5. Step 5: Solve for x
    x = 33,937,442,122.89/189,751.12
  6. Step 6: Final answer
    x = 178,852.39

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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.