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Finding the Fourth Proportional to 78,161.84, 107,900.53 and 52,364.81

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Solution

The fourth proportional to 78,161.84, 107,900.53 and 52,364.81 is: 72,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.84 : 107,900.53 = 52,364.81 : x
  2. Step 2: Convert to fraction form
    78,161.84/107,900.53 = 52,364.81/x
  3. Step 3: Cross multiply
    78,161.84x = 107,900.53 × 52,364.81
  4. Step 4: Simplify right side
    78,161.84x = 5,650,190,752.35
  5. Step 5: Solve for x
    x = 5,650,190,752.35/78,161.84
  6. Step 6: Final answer
    x = 72,288.35

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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.