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Finding the Fourth Proportional to 129,649.61, 194,429.43 and 45,407.93

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Solution

The fourth proportional to 129,649.61, 194,429.43 and 45,407.93 is: 68,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,649.61 : 194,429.43 = 45,407.93 : x
  2. Step 2: Convert to fraction form
    129,649.61/194,429.43 = 45,407.93/x
  3. Step 3: Cross multiply
    129,649.61x = 194,429.43 × 45,407.93
  4. Step 4: Simplify right side
    129,649.61x = 8,828,636,975.23
  5. Step 5: Solve for x
    x = 8,828,636,975.23/129,649.61
  6. Step 6: Final answer
    x = 68,096.13

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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.