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Finding the Fourth Proportional to 78,117.81, 107,820.08 and 50,845.51

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Solution

The fourth proportional to 78,117.81, 107,820.08 and 50,845.51 is: 70,178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117.81 : 107,820.08 = 50,845.51 : x
  2. Step 2: Convert to fraction form
    78,117.81/107,820.08 = 50,845.51/x
  3. Step 3: Cross multiply
    78,117.81x = 107,820.08 × 50,845.51
  4. Step 4: Simplify right side
    78,117.81x = 5,482,166,955.84
  5. Step 5: Solve for x
    x = 5,482,166,955.84/78,117.81
  6. Step 6: Final answer
    x = 70,178.20

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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.