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Finding the Fourth Proportional to 260,117.40, 390,078.90 and 102,313.20

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Solution

The fourth proportional to 260,117.40, 390,078.90 and 102,313.20 is: 153,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,117.40 : 390,078.90 = 102,313.20 : x
  2. Step 2: Convert to fraction form
    260,117.40/390,078.90 = 102,313.20/x
  3. Step 3: Cross multiply
    260,117.40x = 390,078.90 × 102,313.20
  4. Step 4: Simplify right side
    260,117.40x = 39,910,220,511.48
  5. Step 5: Solve for x
    x = 39,910,220,511.48/260,117.40
  6. Step 6: Final answer
    x = 153,431.57

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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.