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Finding the Fourth Proportional to 194,148, 291,221.76 and 61,039.88

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Solution

The fourth proportional to 194,148, 291,221.76 and 61,039.88 is: 91,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,148 : 291,221.76 = 61,039.88 : x
  2. Step 2: Convert to fraction form
    194,148/291,221.76 = 61,039.88/x
  3. Step 3: Cross multiply
    194,148x = 291,221.76 × 61,039.88
  4. Step 4: Simplify right side
    194,148x = 17,776,141,283.79
  5. Step 5: Solve for x
    x = 17,776,141,283.79/194,148
  6. Step 6: Final answer
    x = 91,559.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.