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Finding the Fourth Proportional to 128,602.95, 192,934.82 and 53,681.46

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Solution

The fourth proportional to 128,602.95, 192,934.82 and 53,681.46 is: 80,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,602.95 : 192,934.82 = 53,681.46 : x
  2. Step 2: Convert to fraction form
    128,602.95/192,934.82 = 53,681.46/x
  3. Step 3: Cross multiply
    128,602.95x = 192,934.82 × 53,681.46
  4. Step 4: Simplify right side
    128,602.95x = 10,357,022,554.03
  5. Step 5: Solve for x
    x = 10,357,022,554.03/128,602.95
  6. Step 6: Final answer
    x = 80,534.88

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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.