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Finding the Fourth Proportional to 151,809.62, 209,496.21 and 83,830.82

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Solution

The fourth proportional to 151,809.62, 209,496.21 and 83,830.82 is: 115,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,809.62 : 209,496.21 = 83,830.82 : x
  2. Step 2: Convert to fraction form
    151,809.62/209,496.21 = 83,830.82/x
  3. Step 3: Cross multiply
    151,809.62x = 209,496.21 × 83,830.82
  4. Step 4: Simplify right side
    151,809.62x = 17,562,239,071.19
  5. Step 5: Solve for x
    x = 17,562,239,071.19/151,809.62
  6. Step 6: Final answer
    x = 115,685.94

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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.