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Finding the Fourth Proportional to 105,312, 157,993.92 and 31,440

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Solution

The fourth proportional to 105,312, 157,993.92 and 31,440 is: 47,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,312 : 157,993.92 = 31,440 : x
  2. Step 2: Convert to fraction form
    105,312/157,993.92 = 31,440/x
  3. Step 3: Cross multiply
    105,312x = 157,993.92 × 31,440
  4. Step 4: Simplify right side
    105,312x = 4,967,328,844.80
  5. Step 5: Solve for x
    x = 4,967,328,844.80/105,312
  6. Step 6: Final answer
    x = 47,167.74

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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.