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Finding the Fourth Proportional to 137,552.84, 189,915.36 and 85,948.64

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Solution

The fourth proportional to 137,552.84, 189,915.36 and 85,948.64 is: 118,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,552.84 : 189,915.36 = 85,948.64 : x
  2. Step 2: Convert to fraction form
    137,552.84/189,915.36 = 85,948.64/x
  3. Step 3: Cross multiply
    137,552.84x = 189,915.36 × 85,948.64
  4. Step 4: Simplify right side
    137,552.84x = 16,322,966,907.11
  5. Step 5: Solve for x
    x = 16,322,966,907.11/137,552.84
  6. Step 6: Final answer
    x = 118,666.88

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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.