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Finding the Fourth Proportional to 77,307.63, 115,931.75 and 27,378.51

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Solution

The fourth proportional to 77,307.63, 115,931.75 and 27,378.51 is: 41,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307.63 : 115,931.75 = 27,378.51 : x
  2. Step 2: Convert to fraction form
    77,307.63/115,931.75 = 27,378.51/x
  3. Step 3: Cross multiply
    77,307.63x = 115,931.75 × 27,378.51
  4. Step 4: Simplify right side
    77,307.63x = 3,174,038,439.80
  5. Step 5: Solve for x
    x = 3,174,038,439.80/77,307.63
  6. Step 6: Final answer
    x = 41,057.25

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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.