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Finding the Fourth Proportional to 122,978.54, 169,710.74 and 71,305.65

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Solution

The fourth proportional to 122,978.54, 169,710.74 and 71,305.65 is: 98,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978.54 : 169,710.74 = 71,305.65 : x
  2. Step 2: Convert to fraction form
    122,978.54/169,710.74 = 71,305.65/x
  3. Step 3: Cross multiply
    122,978.54x = 169,710.74 × 71,305.65
  4. Step 4: Simplify right side
    122,978.54x = 12,101,334,805.95
  5. Step 5: Solve for x
    x = 12,101,334,805.95/122,978.54
  6. Step 6: Final answer
    x = 98,402.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.