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Finding the Fourth Proportional to 208,052, 287,150.70 and 118,628

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Solution

The fourth proportional to 208,052, 287,150.70 and 118,628 is: 163,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,052 : 287,150.70 = 118,628 : x
  2. Step 2: Convert to fraction form
    208,052/287,150.70 = 118,628/x
  3. Step 3: Cross multiply
    208,052x = 287,150.70 × 118,628
  4. Step 4: Simplify right side
    208,052x = 34,064,113,239.60
  5. Step 5: Solve for x
    x = 34,064,113,239.60/208,052
  6. Step 6: Final answer
    x = 163,728.84

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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.