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Finding the Fourth Proportional to 128,443, 177,191.46 and 83,135.56

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Solution

The fourth proportional to 128,443, 177,191.46 and 83,135.56 is: 114,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,443 : 177,191.46 = 83,135.56 : x
  2. Step 2: Convert to fraction form
    128,443/177,191.46 = 83,135.56/x
  3. Step 3: Cross multiply
    128,443x = 177,191.46 × 83,135.56
  4. Step 4: Simplify right side
    128,443x = 14,730,911,254.32
  5. Step 5: Solve for x
    x = 14,730,911,254.32/128,443
  6. Step 6: Final answer
    x = 114,688.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.