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Finding the Fourth Proportional to 254,702.16, 382,133.25 and 105,012.90

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Solution

The fourth proportional to 254,702.16, 382,133.25 and 105,012.90 is: 157,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,702.16 : 382,133.25 = 105,012.90 : x
  2. Step 2: Convert to fraction form
    254,702.16/382,133.25 = 105,012.90/x
  3. Step 3: Cross multiply
    254,702.16x = 382,133.25 × 105,012.90
  4. Step 4: Simplify right side
    254,702.16x = 40,128,920,768.93
  5. Step 5: Solve for x
    x = 40,128,920,768.93/254,702.16
  6. Step 6: Final answer
    x = 157,552.34

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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.