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Finding the Fourth Proportional to 260,411.72, 390,648.84 and 91,897.25

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Solution

The fourth proportional to 260,411.72, 390,648.84 and 91,897.25 is: 137,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,411.72 : 390,648.84 = 91,897.25 : x
  2. Step 2: Convert to fraction form
    260,411.72/390,648.84 = 91,897.25/x
  3. Step 3: Cross multiply
    260,411.72x = 390,648.84 × 91,897.25
  4. Step 4: Simplify right side
    260,411.72x = 35,899,553,652.20
  5. Step 5: Solve for x
    x = 35,899,553,652.20/260,411.72
  6. Step 6: Final answer
    x = 137,856.90

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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.