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Finding the Fourth Proportional to 119,870.94, 165,328.42 and 76,854.54

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Solution

The fourth proportional to 119,870.94, 165,328.42 and 76,854.54 is: 105,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,870.94 : 165,328.42 = 76,854.54 : x
  2. Step 2: Convert to fraction form
    119,870.94/165,328.42 = 76,854.54/x
  3. Step 3: Cross multiply
    119,870.94x = 165,328.42 × 76,854.54
  4. Step 4: Simplify right side
    119,870.94x = 12,706,239,668.03
  5. Step 5: Solve for x
    x = 12,706,239,668.03/119,870.94
  6. Step 6: Final answer
    x = 105,999.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.