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Finding the Fourth Proportional to 137,566.24, 189,875.16 and 83,880.82

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Solution

The fourth proportional to 137,566.24, 189,875.16 and 83,880.82 is: 115,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,566.24 : 189,875.16 = 83,880.82 : x
  2. Step 2: Convert to fraction form
    137,566.24/189,875.16 = 83,880.82/x
  3. Step 3: Cross multiply
    137,566.24x = 189,875.16 × 83,880.82
  4. Step 4: Simplify right side
    137,566.24x = 15,926,884,118.43
  5. Step 5: Solve for x
    x = 15,926,884,118.43/137,566.24
  6. Step 6: Final answer
    x = 115,776.11

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