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Finding the Fourth Proportional to 151,555.34, 209,109.80 and 97,828.85

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Solution

The fourth proportional to 151,555.34, 209,109.80 and 97,828.85 is: 134,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,555.34 : 209,109.80 = 97,828.85 : x
  2. Step 2: Convert to fraction form
    151,555.34/209,109.80 = 97,828.85/x
  3. Step 3: Cross multiply
    151,555.34x = 209,109.80 × 97,828.85
  4. Step 4: Simplify right side
    151,555.34x = 20,456,970,768.59
  5. Step 5: Solve for x
    x = 20,456,970,768.59/151,555.34
  6. Step 6: Final answer
    x = 134,980.20

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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.