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Finding the Fourth Proportional to 77,384.68, 115,927.54 and 57,085.64

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Solution

The fourth proportional to 77,384.68, 115,927.54 and 57,085.64 is: 85,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384.68 : 115,927.54 = 57,085.64 : x
  2. Step 2: Convert to fraction form
    77,384.68/115,927.54 = 57,085.64/x
  3. Step 3: Cross multiply
    77,384.68x = 115,927.54 × 57,085.64
  4. Step 4: Simplify right side
    77,384.68x = 6,617,797,814.53
  5. Step 5: Solve for x
    x = 6,617,797,814.53/77,384.68
  6. Step 6: Final answer
    x = 85,518.19

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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.