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Finding the Fourth Proportional to 151,922, 209,656.68 and 84,858.32

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Solution

The fourth proportional to 151,922, 209,656.68 and 84,858.32 is: 117,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,922 : 209,656.68 = 84,858.32 : x
  2. Step 2: Convert to fraction form
    151,922/209,656.68 = 84,858.32/x
  3. Step 3: Cross multiply
    151,922x = 209,656.68 × 84,858.32
  4. Step 4: Simplify right side
    151,922x = 17,791,113,641.58
  5. Step 5: Solve for x
    x = 17,791,113,641.58/151,922
  6. Step 6: Final answer
    x = 117,106.89

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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.