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Finding the Fourth Proportional to 208,698.12, 288,005.22 and 118,054.80

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Solution

The fourth proportional to 208,698.12, 288,005.22 and 118,054.80 is: 162,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,698.12 : 288,005.22 = 118,054.80 : x
  2. Step 2: Convert to fraction form
    208,698.12/288,005.22 = 118,054.80/x
  3. Step 3: Cross multiply
    208,698.12x = 288,005.22 × 118,054.80
  4. Step 4: Simplify right side
    208,698.12x = 34,000,398,646.06
  5. Step 5: Solve for x
    x = 34,000,398,646.06/208,698.12
  6. Step 6: Final answer
    x = 162,916.65

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1.5x scale

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.