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Finding the Fourth Proportional to 189,280.51, 284,047.03 and 98,179.88

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Solution

The fourth proportional to 189,280.51, 284,047.03 and 98,179.88 is: 147,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,280.51 : 284,047.03 = 98,179.88 : x
  2. Step 2: Convert to fraction form
    189,280.51/284,047.03 = 98,179.88/x
  3. Step 3: Cross multiply
    189,280.51x = 284,047.03 × 98,179.88
  4. Step 4: Simplify right side
    189,280.51x = 27,887,702,821.13
  5. Step 5: Solve for x
    x = 27,887,702,821.13/189,280.51
  6. Step 6: Final answer
    x = 147,335.31

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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.