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Finding the Fourth Proportional to 128,335.41, 192,540 and 65,152.98

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Solution

The fourth proportional to 128,335.41, 192,540 and 65,152.98 is: 97,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,335.41 : 192,540 = 65,152.98 : x
  2. Step 2: Convert to fraction form
    128,335.41/192,540 = 65,152.98/x
  3. Step 3: Cross multiply
    128,335.41x = 192,540 × 65,152.98
  4. Step 4: Simplify right side
    128,335.41x = 12,544,554,769.20
  5. Step 5: Solve for x
    x = 12,544,554,769.20/128,335.41
  6. Step 6: Final answer
    x = 97,748.20

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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.