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Finding the Fourth Proportional to 208,669.68, 287,970.68 and 118,023.87

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Solution

The fourth proportional to 208,669.68, 287,970.68 and 118,023.87 is: 162,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,669.68 : 287,970.68 = 118,023.87 : x
  2. Step 2: Convert to fraction form
    208,669.68/287,970.68 = 118,023.87/x
  3. Step 3: Cross multiply
    208,669.68x = 287,970.68 × 118,023.87
  4. Step 4: Simplify right side
    208,669.68x = 33,987,415,475.08
  5. Step 5: Solve for x
    x = 33,987,415,475.08/208,669.68
  6. Step 6: Final answer
    x = 162,876.64

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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.