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Finding the Fourth Proportional to 137,451.39, 189,696.29 and 77,032.27

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Solution

The fourth proportional to 137,451.39, 189,696.29 and 77,032.27 is: 106,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,451.39 : 189,696.29 = 77,032.27 : x
  2. Step 2: Convert to fraction form
    137,451.39/189,696.29 = 77,032.27/x
  3. Step 3: Cross multiply
    137,451.39x = 189,696.29 × 77,032.27
  4. Step 4: Simplify right side
    137,451.39x = 14,612,735,829.28
  5. Step 5: Solve for x
    x = 14,612,735,829.28/137,451.39
  6. Step 6: Final answer
    x = 106,312.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.