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Finding the Fourth Proportional to 85,934.94, 128,852.45 and 57,504.38

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Solution

The fourth proportional to 85,934.94, 128,852.45 and 57,504.38 is: 86,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,934.94 : 128,852.45 = 57,504.38 : x
  2. Step 2: Convert to fraction form
    85,934.94/128,852.45 = 57,504.38/x
  3. Step 3: Cross multiply
    85,934.94x = 128,852.45 × 57,504.38
  4. Step 4: Simplify right side
    85,934.94x = 7,409,579,316.95
  5. Step 5: Solve for x
    x = 7,409,579,316.95/85,934.94
  6. Step 6: Final answer
    x = 86,223.13

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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.