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Finding the Fourth Proportional to 128,464.89, 177,352.98 and 77,490.48

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Solution

The fourth proportional to 128,464.89, 177,352.98 and 77,490.48 is: 106,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,464.89 : 177,352.98 = 77,490.48 : x
  2. Step 2: Convert to fraction form
    128,464.89/177,352.98 = 77,490.48/x
  3. Step 3: Cross multiply
    128,464.89x = 177,352.98 × 77,490.48
  4. Step 4: Simplify right side
    128,464.89x = 13,743,167,549.63
  5. Step 5: Solve for x
    x = 13,743,167,549.63/128,464.89
  6. Step 6: Final answer
    x = 106,979.95

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1.5x scale

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.