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Finding the Fourth Proportional to 105,319, 158,005.88 and 31,447

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Solution

The fourth proportional to 105,319, 158,005.88 and 31,447 is: 47,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,319 : 158,005.88 = 31,447 : x
  2. Step 2: Convert to fraction form
    105,319/158,005.88 = 31,447/x
  3. Step 3: Cross multiply
    105,319x = 158,005.88 × 31,447
  4. Step 4: Simplify right side
    105,319x = 4,968,810,908.36
  5. Step 5: Solve for x
    x = 4,968,810,908.36/105,319
  6. Step 6: Final answer
    x = 47,178.68

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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.