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Finding the Fourth Proportional to 265,023.36, 397,537.92 and 78,038.40

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Solution

The fourth proportional to 265,023.36, 397,537.92 and 78,038.40 is: 117,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,023.36 : 397,537.92 = 78,038.40 : x
  2. Step 2: Convert to fraction form
    265,023.36/397,537.92 = 78,038.40/x
  3. Step 3: Cross multiply
    265,023.36x = 397,537.92 × 78,038.40
  4. Step 4: Simplify right side
    265,023.36x = 31,023,223,216.13
  5. Step 5: Solve for x
    x = 31,023,223,216.13/265,023.36
  6. Step 6: Final answer
    x = 117,058.45

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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.