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Finding the Fourth Proportional to 151,698.72, 209,357.65 and 83,730.41

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Solution

The fourth proportional to 151,698.72, 209,357.65 and 83,730.41 is: 115,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,698.72 : 209,357.65 = 83,730.41 : x
  2. Step 2: Convert to fraction form
    151,698.72/209,357.65 = 83,730.41/x
  3. Step 3: Cross multiply
    151,698.72x = 209,357.65 × 83,730.41
  4. Step 4: Simplify right side
    151,698.72x = 17,529,600,405.70
  5. Step 5: Solve for x
    x = 17,529,600,405.70/151,698.72
  6. Step 6: Final answer
    x = 115,555.36

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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.