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Finding the Fourth Proportional to 265,848.64, 398,772.92 and 78,858.52

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Solution

The fourth proportional to 265,848.64, 398,772.92 and 78,858.52 is: 118,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,848.64 : 398,772.92 = 78,858.52 : x
  2. Step 2: Convert to fraction form
    265,848.64/398,772.92 = 78,858.52/x
  3. Step 3: Cross multiply
    265,848.64x = 398,772.92 × 78,858.52
  4. Step 4: Simplify right side
    265,848.64x = 31,446,642,287.28
  5. Step 5: Solve for x
    x = 31,446,642,287.28/265,848.64
  6. Step 6: Final answer
    x = 118,287.77

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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.