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Finding the Fourth Proportional to 125,890.98, 188,838.46 and 70,085.81

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Solution

The fourth proportional to 125,890.98, 188,838.46 and 70,085.81 is: 105,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,890.98 : 188,838.46 = 70,085.81 : x
  2. Step 2: Convert to fraction form
    125,890.98/188,838.46 = 70,085.81/x
  3. Step 3: Cross multiply
    125,890.98x = 188,838.46 × 70,085.81
  4. Step 4: Simplify right side
    125,890.98x = 13,234,896,122.86
  5. Step 5: Solve for x
    x = 13,234,896,122.86/125,890.98
  6. Step 6: Final answer
    x = 105,129.82

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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.