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Finding the Fourth Proportional to 105,303.92, 157,999.08 and 42,980.72

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Solution

The fourth proportional to 105,303.92, 157,999.08 and 42,980.72 is: 64,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,303.92 : 157,999.08 = 42,980.72 : x
  2. Step 2: Convert to fraction form
    105,303.92/157,999.08 = 42,980.72/x
  3. Step 3: Cross multiply
    105,303.92x = 157,999.08 × 42,980.72
  4. Step 4: Simplify right side
    105,303.92x = 6,790,914,217.74
  5. Step 5: Solve for x
    x = 6,790,914,217.74/105,303.92
  6. Step 6: Final answer
    x = 64,488.71

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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.