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Finding the Fourth Proportional to 137,159.64, 189,280.59 and 76,731.30

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Solution

The fourth proportional to 137,159.64, 189,280.59 and 76,731.30 is: 105,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,159.64 : 189,280.59 = 76,731.30 : x
  2. Step 2: Convert to fraction form
    137,159.64/189,280.59 = 76,731.30/x
  3. Step 3: Cross multiply
    137,159.64x = 189,280.59 × 76,731.30
  4. Step 4: Simplify right side
    137,159.64x = 14,523,745,735.47
  5. Step 5: Solve for x
    x = 14,523,745,735.47/137,159.64
  6. Step 6: Final answer
    x = 105,889.35

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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.