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Finding the Fourth Proportional to 274,133.70, 411,200.55 and 87,164.10

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Solution

The fourth proportional to 274,133.70, 411,200.55 and 87,164.10 is: 130,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,133.70 : 411,200.55 = 87,164.10 : x
  2. Step 2: Convert to fraction form
    274,133.70/411,200.55 = 87,164.10/x
  3. Step 3: Cross multiply
    274,133.70x = 411,200.55 × 87,164.10
  4. Step 4: Simplify right side
    274,133.70x = 35,841,925,860.26
  5. Step 5: Solve for x
    x = 35,841,925,860.26/274,133.70
  6. Step 6: Final answer
    x = 130,746.15

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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.