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Finding the Fourth Proportional to 114,315.82, 157,810.53 and 76,138.90

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Solution

The fourth proportional to 114,315.82, 157,810.53 and 76,138.90 is: 105,108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,315.82 : 157,810.53 = 76,138.90 : x
  2. Step 2: Convert to fraction form
    114,315.82/157,810.53 = 76,138.90/x
  3. Step 3: Cross multiply
    114,315.82x = 157,810.53 × 76,138.90
  4. Step 4: Simplify right side
    114,315.82x = 12,015,520,162.62
  5. Step 5: Solve for x
    x = 12,015,520,162.62/114,315.82
  6. Step 6: Final answer
    x = 105,108.11

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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.