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Finding the Fourth Proportional to 208,970.92, 288,397.74 and 118,342.90

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Solution

The fourth proportional to 208,970.92, 288,397.74 and 118,342.90 is: 163,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,970.92 : 288,397.74 = 118,342.90 : x
  2. Step 2: Convert to fraction form
    208,970.92/288,397.74 = 118,342.90/x
  3. Step 3: Cross multiply
    208,970.92x = 288,397.74 × 118,342.90
  4. Step 4: Simplify right side
    208,970.92x = 34,129,824,905.05
  5. Step 5: Solve for x
    x = 34,129,824,905.05/208,970.92
  6. Step 6: Final answer
    x = 163,323.32

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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.