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Finding the Fourth Proportional to 129,802.60, 194,703.90 and 31,306.60

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Solution

The fourth proportional to 129,802.60, 194,703.90 and 31,306.60 is: 46,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,802.60 : 194,703.90 = 31,306.60 : x
  2. Step 2: Convert to fraction form
    129,802.60/194,703.90 = 31,306.60/x
  3. Step 3: Cross multiply
    129,802.60x = 194,703.90 × 31,306.60
  4. Step 4: Simplify right side
    129,802.60x = 6,095,517,115.74
  5. Step 5: Solve for x
    x = 6,095,517,115.74/129,802.60
  6. Step 6: Final answer
    x = 46,959.90

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1.5x scale

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.