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Finding the Fourth Proportional to 78,509.99, 117,696.06 and 31,158.51

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Solution

The fourth proportional to 78,509.99, 117,696.06 and 31,158.51 is: 46,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.99 : 117,696.06 = 31,158.51 : x
  2. Step 2: Convert to fraction form
    78,509.99/117,696.06 = 31,158.51/x
  3. Step 3: Cross multiply
    78,509.99x = 117,696.06 × 31,158.51
  4. Step 4: Simplify right side
    78,509.99x = 3,667,233,862.47
  5. Step 5: Solve for x
    x = 3,667,233,862.47/78,509.99
  6. Step 6: Final answer
    x = 46,710.41

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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.