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Finding the Fourth Proportional to 142,709.65, 214,021.79 and 89,482.47

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Solution

The fourth proportional to 142,709.65, 214,021.79 and 89,482.47 is: 134,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,709.65 : 214,021.79 = 89,482.47 : x
  2. Step 2: Convert to fraction form
    142,709.65/214,021.79 = 89,482.47/x
  3. Step 3: Cross multiply
    142,709.65x = 214,021.79 × 89,482.47
  4. Step 4: Simplify right side
    142,709.65x = 19,151,199,195.80
  5. Step 5: Solve for x
    x = 19,151,199,195.80/142,709.65
  6. Step 6: Final answer
    x = 134,196.95

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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.