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Finding the Fourth Proportional to 102,113.06, 140,914.77 and 57,401.06

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Solution

The fourth proportional to 102,113.06, 140,914.77 and 57,401.06 is: 79,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,113.06 : 140,914.77 = 57,401.06 : x
  2. Step 2: Convert to fraction form
    102,113.06/140,914.77 = 57,401.06/x
  3. Step 3: Cross multiply
    102,113.06x = 140,914.77 × 57,401.06
  4. Step 4: Simplify right side
    102,113.06x = 8,088,657,167.66
  5. Step 5: Solve for x
    x = 8,088,657,167.66/102,113.06
  6. Step 6: Final answer
    x = 79,212.76

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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.