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Finding the Fourth Proportional to 105,043, 157,564.50 and 31,171

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Solution

The fourth proportional to 105,043, 157,564.50 and 31,171 is: 46,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,043 : 157,564.50 = 31,171 : x
  2. Step 2: Convert to fraction form
    105,043/157,564.50 = 31,171/x
  3. Step 3: Cross multiply
    105,043x = 157,564.50 × 31,171
  4. Step 4: Simplify right side
    105,043x = 4,911,443,029.50
  5. Step 5: Solve for x
    x = 4,911,443,029.50/105,043
  6. Step 6: Final answer
    x = 46,756.50

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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.