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Finding the Fourth Proportional to 192,020.40, 287,785.80 and 107,780.40

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Solution

The fourth proportional to 192,020.40, 287,785.80 and 107,780.40 is: 161,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,020.40 : 287,785.80 = 107,780.40 : x
  2. Step 2: Convert to fraction form
    192,020.40/287,785.80 = 107,780.40/x
  3. Step 3: Cross multiply
    192,020.40x = 287,785.80 × 107,780.40
  4. Step 4: Simplify right side
    192,020.40x = 31,017,668,638.32
  5. Step 5: Solve for x
    x = 31,017,668,638.32/192,020.40
  6. Step 6: Final answer
    x = 161,533.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.