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Finding the Fourth Proportional to 101,706.86, 140,363.75 and 56,399.05

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Solution

The fourth proportional to 101,706.86, 140,363.75 and 56,399.05 is: 77,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706.86 : 140,363.75 = 56,399.05 : x
  2. Step 2: Convert to fraction form
    101,706.86/140,363.75 = 56,399.05/x
  3. Step 3: Cross multiply
    101,706.86x = 140,363.75 × 56,399.05
  4. Step 4: Simplify right side
    101,706.86x = 7,916,381,944.53
  5. Step 5: Solve for x
    x = 7,916,381,944.53/101,706.86
  6. Step 6: Final answer
    x = 77,835.28

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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.