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Finding the Fourth Proportional to 136,946.74, 188,967.71 and 76,509.88

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Solution

The fourth proportional to 136,946.74, 188,967.71 and 76,509.88 is: 105,573.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,946.74 : 188,967.71 = 76,509.88 : x
  2. Step 2: Convert to fraction form
    136,946.74/188,967.71 = 76,509.88/x
  3. Step 3: Cross multiply
    136,946.74x = 188,967.71 × 76,509.88
  4. Step 4: Simplify right side
    136,946.74x = 14,457,896,815.97
  5. Step 5: Solve for x
    x = 14,457,896,815.97/136,946.74
  6. Step 6: Final answer
    x = 105,573.14

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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.