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Finding the Fourth Proportional to 189,499.59, 284,427.99 and 139,427.01

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Solution

The fourth proportional to 189,499.59, 284,427.99 and 139,427.01 is: 209,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,499.59 : 284,427.99 = 139,427.01 : x
  2. Step 2: Convert to fraction form
    189,499.59/284,427.99 = 139,427.01/x
  3. Step 3: Cross multiply
    189,499.59x = 284,427.99 × 139,427.01
  4. Step 4: Simplify right side
    189,499.59x = 39,656,944,206.01
  5. Step 5: Solve for x
    x = 39,656,944,206.01/189,499.59
  6. Step 6: Final answer
    x = 209,271.93

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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.