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Finding the Fourth Proportional to 78,065, 107,700.30 and 51,222.32

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Solution

The fourth proportional to 78,065, 107,700.30 and 51,222.32 is: 70,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065 : 107,700.30 = 51,222.32 : x
  2. Step 2: Convert to fraction form
    78,065/107,700.30 = 51,222.32/x
  3. Step 3: Cross multiply
    78,065x = 107,700.30 × 51,222.32
  4. Step 4: Simplify right side
    78,065x = 5,516,659,230.70
  5. Step 5: Solve for x
    x = 5,516,659,230.70/78,065
  6. Step 6: Final answer
    x = 70,667.51

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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.