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Finding the Fourth Proportional to 137,058.40, 205,280.40 and 81,762.40

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Solution

The fourth proportional to 137,058.40, 205,280.40 and 81,762.40 is: 122,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,058.40 : 205,280.40 = 81,762.40 : x
  2. Step 2: Convert to fraction form
    137,058.40/205,280.40 = 81,762.40/x
  3. Step 3: Cross multiply
    137,058.40x = 205,280.40 × 81,762.40
  4. Step 4: Simplify right side
    137,058.40x = 16,784,218,176.96
  5. Step 5: Solve for x
    x = 16,784,218,176.96/137,058.40
  6. Step 6: Final answer
    x = 122,460.34

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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.