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Finding the Fourth Proportional to 119,697.21, 165,182.67 and 65,981.07

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Solution

The fourth proportional to 119,697.21, 165,182.67 and 65,981.07 is: 91,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,697.21 : 165,182.67 = 65,981.07 : x
  2. Step 2: Convert to fraction form
    119,697.21/165,182.67 = 65,981.07/x
  3. Step 3: Cross multiply
    119,697.21x = 165,182.67 × 65,981.07
  4. Step 4: Simplify right side
    119,697.21x = 10,898,929,312.06
  5. Step 5: Solve for x
    x = 10,898,929,312.06/119,697.21
  6. Step 6: Final answer
    x = 91,054.16

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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.