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Finding the Fourth Proportional to 105,657.69, 158,434.70 and 52,288.01

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Solution

The fourth proportional to 105,657.69, 158,434.70 and 52,288.01 is: 78,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,657.69 : 158,434.70 = 52,288.01 : x
  2. Step 2: Convert to fraction form
    105,657.69/158,434.70 = 52,288.01/x
  3. Step 3: Cross multiply
    105,657.69x = 158,434.70 × 52,288.01
  4. Step 4: Simplify right side
    105,657.69x = 8,284,234,718.46
  5. Step 5: Solve for x
    x = 8,284,234,718.46/105,657.69
  6. Step 6: Final answer
    x = 78,406.36

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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.