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Finding the Fourth Proportional to 265,065.90, 397,462.64 and 78,053.10

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Solution

The fourth proportional to 265,065.90, 397,462.64 and 78,053.10 is: 117,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,065.90 : 397,462.64 = 78,053.10 : x
  2. Step 2: Convert to fraction form
    265,065.90/397,462.64 = 78,053.10/x
  3. Step 3: Cross multiply
    265,065.90x = 397,462.64 × 78,053.10
  4. Step 4: Simplify right side
    265,065.90x = 31,023,191,186.18
  5. Step 5: Solve for x
    x = 31,023,191,186.18/265,065.90
  6. Step 6: Final answer
    x = 117,039.54

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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.