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Finding the Fourth Proportional to 208,148.52, 287,368.73 and 136,653.87

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Solution

The fourth proportional to 208,148.52, 287,368.73 and 136,653.87 is: 188,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,148.52 : 287,368.73 = 136,653.87 : x
  2. Step 2: Convert to fraction form
    208,148.52/287,368.73 = 136,653.87/x
  3. Step 3: Cross multiply
    208,148.52x = 287,368.73 × 136,653.87
  4. Step 4: Simplify right side
    208,148.52x = 39,270,048,388.22
  5. Step 5: Solve for x
    x = 39,270,048,388.22/208,148.52
  6. Step 6: Final answer
    x = 188,663.60

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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.