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Finding the Fourth Proportional to 125,985, 189,006.66 and 42,879

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Solution

The fourth proportional to 125,985, 189,006.66 and 42,879 is: 64,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,985 : 189,006.66 = 42,879 : x
  2. Step 2: Convert to fraction form
    125,985/189,006.66 = 42,879/x
  3. Step 3: Cross multiply
    125,985x = 189,006.66 × 42,879
  4. Step 4: Simplify right side
    125,985x = 8,104,416,574.14
  5. Step 5: Solve for x
    x = 8,104,416,574.14/125,985
  6. Step 6: Final answer
    x = 64,328.42

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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.