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Finding the Fourth Proportional to 86,782.86, 130,148.78 and 36,862.56

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Solution

The fourth proportional to 86,782.86, 130,148.78 and 36,862.56 is: 55,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,782.86 : 130,148.78 = 36,862.56 : x
  2. Step 2: Convert to fraction form
    86,782.86/130,148.78 = 36,862.56/x
  3. Step 3: Cross multiply
    86,782.86x = 130,148.78 × 36,862.56
  4. Step 4: Simplify right side
    86,782.86x = 4,797,617,444.89
  5. Step 5: Solve for x
    x = 4,797,617,444.89/86,782.86
  6. Step 6: Final answer
    x = 55,283.01

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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.