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Finding the Fourth Proportional to 207,970.70, 287,034.86 and 117,352.36

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Solution

The fourth proportional to 207,970.70, 287,034.86 and 117,352.36 is: 161,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970.70 : 287,034.86 = 117,352.36 : x
  2. Step 2: Convert to fraction form
    207,970.70/287,034.86 = 117,352.36/x
  3. Step 3: Cross multiply
    207,970.70x = 287,034.86 × 117,352.36
  4. Step 4: Simplify right side
    207,970.70x = 33,684,216,201.33
  5. Step 5: Solve for x
    x = 33,684,216,201.33/207,970.70
  6. Step 6: Final answer
    x = 161,966.16

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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.