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Finding the Fourth Proportional to 189,852.98, 284,638.86 and 114,955.52

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Solution

The fourth proportional to 189,852.98, 284,638.86 and 114,955.52 is: 172,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,852.98 : 284,638.86 = 114,955.52 : x
  2. Step 2: Convert to fraction form
    189,852.98/284,638.86 = 114,955.52/x
  3. Step 3: Cross multiply
    189,852.98x = 284,638.86 × 114,955.52
  4. Step 4: Simplify right side
    189,852.98x = 32,720,808,163.51
  5. Step 5: Solve for x
    x = 32,720,808,163.51/189,852.98
  6. Step 6: Final answer
    x = 172,348.14

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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.