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Finding the Fourth Proportional to 207,948, 286,996.32 and 117,322.56

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Solution

The fourth proportional to 207,948, 286,996.32 and 117,322.56 is: 161,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,948 : 286,996.32 = 117,322.56 : x
  2. Step 2: Convert to fraction form
    207,948/286,996.32 = 117,322.56/x
  3. Step 3: Cross multiply
    207,948x = 286,996.32 × 117,322.56
  4. Step 4: Simplify right side
    207,948x = 33,671,142,972.98
  5. Step 5: Solve for x
    x = 33,671,142,972.98/207,948
  6. Step 6: Final answer
    x = 161,920.98

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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.