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Finding the Fourth Proportional to 86,807.80, 130,430.25 and 55,232.08

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Solution

The fourth proportional to 86,807.80, 130,430.25 and 55,232.08 is: 82,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,807.80 : 130,430.25 = 55,232.08 : x
  2. Step 2: Convert to fraction form
    86,807.80/130,430.25 = 55,232.08/x
  3. Step 3: Cross multiply
    86,807.80x = 130,430.25 × 55,232.08
  4. Step 4: Simplify right side
    86,807.80x = 7,203,933,676.34
  5. Step 5: Solve for x
    x = 7,203,933,676.34/86,807.80
  6. Step 6: Final answer
    x = 82,987.17

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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.