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Finding the Fourth Proportional to 145,646.51, 218,469.69 and 40,465.44

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Solution

The fourth proportional to 145,646.51, 218,469.69 and 40,465.44 is: 60,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,646.51 : 218,469.69 = 40,465.44 : x
  2. Step 2: Convert to fraction form
    145,646.51/218,469.69 = 40,465.44/x
  3. Step 3: Cross multiply
    145,646.51x = 218,469.69 × 40,465.44
  4. Step 4: Simplify right side
    145,646.51x = 8,840,472,132.51
  5. Step 5: Solve for x
    x = 8,840,472,132.51/145,646.51
  6. Step 6: Final answer
    x = 60,698.14

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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.