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Finding the Fourth Proportional to 77,643.66, 116,436.80 and 27,710.40

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Solution

The fourth proportional to 77,643.66, 116,436.80 and 27,710.40 is: 41,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643.66 : 116,436.80 = 27,710.40 : x
  2. Step 2: Convert to fraction form
    77,643.66/116,436.80 = 27,710.40/x
  3. Step 3: Cross multiply
    77,643.66x = 116,436.80 × 27,710.40
  4. Step 4: Simplify right side
    77,643.66x = 3,226,510,302.72
  5. Step 5: Solve for x
    x = 3,226,510,302.72/77,643.66
  6. Step 6: Final answer
    x = 41,555.36

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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.