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Finding the Fourth Proportional to 145,615.39, 218,422.93 and 45,784.31

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Solution

The fourth proportional to 145,615.39, 218,422.93 and 45,784.31 is: 68,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,615.39 : 218,422.93 = 45,784.31 : x
  2. Step 2: Convert to fraction form
    145,615.39/218,422.93 = 45,784.31/x
  3. Step 3: Cross multiply
    145,615.39x = 218,422.93 × 45,784.31
  4. Step 4: Simplify right side
    145,615.39x = 10,000,342,017.50
  5. Step 5: Solve for x
    x = 10,000,342,017.50/145,615.39
  6. Step 6: Final answer
    x = 68,676.41

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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.