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Finding the Fourth Proportional to 105,200, 157,827.36 and 31,328

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Solution

The fourth proportional to 105,200, 157,827.36 and 31,328 is: 47,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,200 : 157,827.36 = 31,328 : x
  2. Step 2: Convert to fraction form
    105,200/157,827.36 = 31,328/x
  3. Step 3: Cross multiply
    105,200x = 157,827.36 × 31,328
  4. Step 4: Simplify right side
    105,200x = 4,944,415,534.08
  5. Step 5: Solve for x
    x = 4,944,415,534.08/105,200
  6. Step 6: Final answer
    x = 47,000.15

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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.