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Finding the Fourth Proportional to 189,779.18, 284,673.81 and 83,108.03

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Solution

The fourth proportional to 189,779.18, 284,673.81 and 83,108.03 is: 124,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,779.18 : 284,673.81 = 83,108.03 : x
  2. Step 2: Convert to fraction form
    189,779.18/284,673.81 = 83,108.03/x
  3. Step 3: Cross multiply
    189,779.18x = 284,673.81 × 83,108.03
  4. Step 4: Simplify right side
    189,779.18x = 23,658,679,541.69
  5. Step 5: Solve for x
    x = 23,658,679,541.69/189,779.18
  6. Step 6: Final answer
    x = 124,664.25

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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.