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Finding the Fourth Proportional to 105,512.10, 158,341.05 and 75,955.20

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Solution

The fourth proportional to 105,512.10, 158,341.05 and 75,955.20 is: 113,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,512.10 : 158,341.05 = 75,955.20 : x
  2. Step 2: Convert to fraction form
    105,512.10/158,341.05 = 75,955.20/x
  3. Step 3: Cross multiply
    105,512.10x = 158,341.05 × 75,955.20
  4. Step 4: Simplify right side
    105,512.10x = 12,026,826,120.96
  5. Step 5: Solve for x
    x = 12,026,826,120.96/105,512.10
  6. Step 6: Final answer
    x = 113,985.28

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1.5x scale

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.