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Finding the Fourth Proportional to 119,357.12, 164,709.54 and 65,642.14

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Solution

The fourth proportional to 119,357.12, 164,709.54 and 65,642.14 is: 90,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,357.12 : 164,709.54 = 65,642.14 : x
  2. Step 2: Convert to fraction form
    119,357.12/164,709.54 = 65,642.14/x
  3. Step 3: Cross multiply
    119,357.12x = 164,709.54 × 65,642.14
  4. Step 4: Simplify right side
    119,357.12x = 10,811,886,684.02
  5. Step 5: Solve for x
    x = 10,811,886,684.02/119,357.12
  6. Step 6: Final answer
    x = 90,584.35

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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.