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Finding the Fourth Proportional to 208,162.51, 287,264.00 and 112,668.98

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Solution

The fourth proportional to 208,162.51, 287,264.00 and 112,668.98 is: 155,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,162.51 : 287,264.00 = 112,668.98 : x
  2. Step 2: Convert to fraction form
    208,162.51/287,264.00 = 112,668.98/x
  3. Step 3: Cross multiply
    208,162.51x = 287,264.00 × 112,668.98
  4. Step 4: Simplify right side
    208,162.51x = 32,365,740,716.07
  5. Step 5: Solve for x
    x = 32,365,740,716.07/208,162.51
  6. Step 6: Final answer
    x = 155,483.05

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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.