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Finding the Fourth Proportional to 119,798.37, 165,374.88 and 77,377.59

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Solution

The fourth proportional to 119,798.37, 165,374.88 and 77,377.59 is: 106,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,798.37 : 165,374.88 = 77,377.59 : x
  2. Step 2: Convert to fraction form
    119,798.37/165,374.88 = 77,377.59/x
  3. Step 3: Cross multiply
    119,798.37x = 165,374.88 × 77,377.59
  4. Step 4: Simplify right side
    119,798.37x = 12,796,308,834.06
  5. Step 5: Solve for x
    x = 12,796,308,834.06/119,798.37
  6. Step 6: Final answer
    x = 106,815.39

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1.5x scale

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.