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Finding the Fourth Proportional to 129,911.40, 194,802.30 and 59,711.40

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Solution

The fourth proportional to 129,911.40, 194,802.30 and 59,711.40 is: 89,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,911.40 : 194,802.30 = 59,711.40 : x
  2. Step 2: Convert to fraction form
    129,911.40/194,802.30 = 59,711.40/x
  3. Step 3: Cross multiply
    129,911.40x = 194,802.30 × 59,711.40
  4. Step 4: Simplify right side
    129,911.40x = 11,631,918,056.22
  5. Step 5: Solve for x
    x = 11,631,918,056.22/129,911.40
  6. Step 6: Final answer
    x = 89,537.32

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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.