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Finding the Fourth Proportional to 105,135, 157,702.56 and 31,263

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Solution

The fourth proportional to 105,135, 157,702.56 and 31,263 is: 46,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,135 : 157,702.56 = 31,263 : x
  2. Step 2: Convert to fraction form
    105,135/157,702.56 = 31,263/x
  3. Step 3: Cross multiply
    105,135x = 157,702.56 × 31,263
  4. Step 4: Simplify right side
    105,135x = 4,930,255,133.28
  5. Step 5: Solve for x
    x = 4,930,255,133.28/105,135
  6. Step 6: Final answer
    x = 46,894.52

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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.