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Finding the Fourth Proportional to 128,415.60, 192,643.92 and 39,648.24

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Solution

The fourth proportional to 128,415.60, 192,643.92 and 39,648.24 is: 59,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,415.60 : 192,643.92 = 39,648.24 : x
  2. Step 2: Convert to fraction form
    128,415.60/192,643.92 = 39,648.24/x
  3. Step 3: Cross multiply
    128,415.60x = 192,643.92 × 39,648.24
  4. Step 4: Simplify right side
    128,415.60x = 7,637,992,374.70
  5. Step 5: Solve for x
    x = 7,637,992,374.70/128,415.60
  6. Step 6: Final answer
    x = 59,478.70

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1.5x scale

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.