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Finding the Fourth Proportional to 136,981.66, 189,010.62 and 76,532.98

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Solution

The fourth proportional to 136,981.66, 189,010.62 and 76,532.98 is: 105,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,981.66 : 189,010.62 = 76,532.98 : x
  2. Step 2: Convert to fraction form
    136,981.66/189,010.62 = 76,532.98/x
  3. Step 3: Cross multiply
    136,981.66x = 189,010.62 × 76,532.98
  4. Step 4: Simplify right side
    136,981.66x = 14,465,546,000.25
  5. Step 5: Solve for x
    x = 14,465,546,000.25/136,981.66
  6. Step 6: Final answer
    x = 105,602.06

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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.