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Finding the Fourth Proportional to 190,289, 285,422.52 and 57,166.40

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Solution

The fourth proportional to 190,289, 285,422.52 and 57,166.40 is: 85,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,289 : 285,422.52 = 57,166.40 : x
  2. Step 2: Convert to fraction form
    190,289/285,422.52 = 57,166.40/x
  3. Step 3: Cross multiply
    190,289x = 285,422.52 × 57,166.40
  4. Step 4: Simplify right side
    190,289x = 16,316,577,947.33
  5. Step 5: Solve for x
    x = 16,316,577,947.33/190,289
  6. Step 6: Final answer
    x = 85,746.30

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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.