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Finding the Fourth Proportional to 208,210, 287,329.80 and 118,784.08

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Solution

The fourth proportional to 208,210, 287,329.80 and 118,784.08 is: 163,922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,210 : 287,329.80 = 118,784.08 : x
  2. Step 2: Convert to fraction form
    208,210/287,329.80 = 118,784.08/x
  3. Step 3: Cross multiply
    208,210x = 287,329.80 × 118,784.08
  4. Step 4: Simplify right side
    208,210x = 34,130,205,949.58
  5. Step 5: Solve for x
    x = 34,130,205,949.58/208,210
  6. Step 6: Final answer
    x = 163,922.03

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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.