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Finding the Fourth Proportional to 153,900.92, 212,362.67 and 85,908.00

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Solution

The fourth proportional to 153,900.92, 212,362.67 and 85,908.00 is: 118,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,900.92 : 212,362.67 = 85,908.00 : x
  2. Step 2: Convert to fraction form
    153,900.92/212,362.67 = 85,908.00/x
  3. Step 3: Cross multiply
    153,900.92x = 212,362.67 × 85,908.00
  4. Step 4: Simplify right side
    153,900.92x = 18,243,650,763.01
  5. Step 5: Solve for x
    x = 18,243,650,763.01/153,900.92
  6. Step 6: Final answer
    x = 118,541.54

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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.