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Finding the Fourth Proportional to 145,908.72, 218,867.64 and 46,069.84

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Solution

The fourth proportional to 145,908.72, 218,867.64 and 46,069.84 is: 69,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908.72 : 218,867.64 = 46,069.84 : x
  2. Step 2: Convert to fraction form
    145,908.72/218,867.64 = 46,069.84/x
  3. Step 3: Cross multiply
    145,908.72x = 218,867.64 × 46,069.84
  4. Step 4: Simplify right side
    145,908.72x = 10,083,197,155.98
  5. Step 5: Solve for x
    x = 10,083,197,155.98/145,908.72
  6. Step 6: Final answer
    x = 69,106.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.