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Finding the Fourth Proportional to 158,476.64, 218,695.92 and 85,878.08

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Solution

The fourth proportional to 158,476.64, 218,695.92 and 85,878.08 is: 118,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,476.64 : 218,695.92 = 85,878.08 : x
  2. Step 2: Convert to fraction form
    158,476.64/218,695.92 = 85,878.08/x
  3. Step 3: Cross multiply
    158,476.64x = 218,695.92 × 85,878.08
  4. Step 4: Simplify right side
    158,476.64x = 18,781,185,713.43
  5. Step 5: Solve for x
    x = 18,781,185,713.43/158,476.64
  6. Step 6: Final answer
    x = 118,510.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.