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Finding the Fourth Proportional to 85,271.48, 127,852.54 and 35,386

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Solution

The fourth proportional to 85,271.48, 127,852.54 and 35,386 is: 53,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,271.48 : 127,852.54 = 35,386 : x
  2. Step 2: Convert to fraction form
    85,271.48/127,852.54 = 35,386/x
  3. Step 3: Cross multiply
    85,271.48x = 127,852.54 × 35,386
  4. Step 4: Simplify right side
    85,271.48x = 4,524,189,980.44
  5. Step 5: Solve for x
    x = 4,524,189,980.44/85,271.48
  6. Step 6: Final answer
    x = 53,056.31

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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.