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Finding the Fourth Proportional to 86,978.32, 130,468.08 and 23,797.08

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Solution

The fourth proportional to 86,978.32, 130,468.08 and 23,797.08 is: 35,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.32 : 130,468.08 = 23,797.08 : x
  2. Step 2: Convert to fraction form
    86,978.32/130,468.08 = 23,797.08/x
  3. Step 3: Cross multiply
    86,978.32x = 130,468.08 × 23,797.08
  4. Step 4: Simplify right side
    86,978.32x = 3,104,759,337.21
  5. Step 5: Solve for x
    x = 3,104,759,337.21/86,978.32
  6. Step 6: Final answer
    x = 35,695.78

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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.