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Finding the Fourth Proportional to 205,535, 308,302.62 and 57,791

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Solution

The fourth proportional to 205,535, 308,302.62 and 57,791 is: 86,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,535 : 308,302.62 = 57,791 : x
  2. Step 2: Convert to fraction form
    205,535/308,302.62 = 57,791/x
  3. Step 3: Cross multiply
    205,535x = 308,302.62 × 57,791
  4. Step 4: Simplify right side
    205,535x = 17,817,116,712.42
  5. Step 5: Solve for x
    x = 17,817,116,712.42/205,535
  6. Step 6: Final answer
    x = 86,686.53

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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.