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Finding the Fourth Proportional to 208,303.65, 287,456.99 and 117,659.39

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Solution

The fourth proportional to 208,303.65, 287,456.99 and 117,659.39 is: 162,368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,303.65 : 287,456.99 = 117,659.39 : x
  2. Step 2: Convert to fraction form
    208,303.65/287,456.99 = 117,659.39/x
  3. Step 3: Cross multiply
    208,303.65x = 287,456.99 × 117,659.39
  4. Step 4: Simplify right side
    208,303.65x = 33,822,012,069.05
  5. Step 5: Solve for x
    x = 33,822,012,069.05/208,303.65
  6. Step 6: Final answer
    x = 162,368.79

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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.