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Finding the Fourth Proportional to 260,102.47, 390,153.71 and 73,113.97

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Solution

The fourth proportional to 260,102.47, 390,153.71 and 73,113.97 is: 109,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,102.47 : 390,153.71 = 73,113.97 : x
  2. Step 2: Convert to fraction form
    260,102.47/390,153.71 = 73,113.97/x
  3. Step 3: Cross multiply
    260,102.47x = 390,153.71 × 73,113.97
  4. Step 4: Simplify right side
    260,102.47x = 28,525,686,648.33
  5. Step 5: Solve for x
    x = 28,525,686,648.33/260,102.47
  6. Step 6: Final answer
    x = 109,670.96

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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.