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Finding the Fourth Proportional to 208,386.63, 287,467.85 and 131,776.63

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Solution

The fourth proportional to 208,386.63, 287,467.85 and 131,776.63 is: 181,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,386.63 : 287,467.85 = 131,776.63 : x
  2. Step 2: Convert to fraction form
    208,386.63/287,467.85 = 131,776.63/x
  3. Step 3: Cross multiply
    208,386.63x = 287,467.85 × 131,776.63
  4. Step 4: Simplify right side
    208,386.63x = 37,881,544,117.12
  5. Step 5: Solve for x
    x = 37,881,544,117.12/208,386.63
  6. Step 6: Final answer
    x = 181,784.91

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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.