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Finding the Fourth Proportional to 119,435.58, 164,814.48 and 65,711.88

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Solution

The fourth proportional to 119,435.58, 164,814.48 and 65,711.88 is: 90,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,435.58 : 164,814.48 = 65,711.88 : x
  2. Step 2: Convert to fraction form
    119,435.58/164,814.48 = 65,711.88/x
  3. Step 3: Cross multiply
    119,435.58x = 164,814.48 × 65,711.88
  4. Step 4: Simplify right side
    119,435.58x = 10,830,269,332.02
  5. Step 5: Solve for x
    x = 10,830,269,332.02/119,435.58
  6. Step 6: Final answer
    x = 90,678.75

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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.