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Finding the Fourth Proportional to 86,978.20, 130,370.10 and 37,049.80

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Solution

The fourth proportional to 86,978.20, 130,370.10 and 37,049.80 is: 55,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.20 : 130,370.10 = 37,049.80 : x
  2. Step 2: Convert to fraction form
    86,978.20/130,370.10 = 37,049.80/x
  3. Step 3: Cross multiply
    86,978.20x = 130,370.10 × 37,049.80
  4. Step 4: Simplify right side
    86,978.20x = 4,830,186,130.98
  5. Step 5: Solve for x
    x = 4,830,186,130.98/86,978.20
  6. Step 6: Final answer
    x = 55,533.30

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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.