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Finding the Fourth Proportional to 105,129.30, 157,730.40 and 46,007.40

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Solution

The fourth proportional to 105,129.30, 157,730.40 and 46,007.40 is: 69,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,129.30 : 157,730.40 = 46,007.40 : x
  2. Step 2: Convert to fraction form
    105,129.30/157,730.40 = 46,007.40/x
  3. Step 3: Cross multiply
    105,129.30x = 157,730.40 × 46,007.40
  4. Step 4: Simplify right side
    105,129.30x = 7,256,765,604.96
  5. Step 5: Solve for x
    x = 7,256,765,604.96/105,129.30
  6. Step 6: Final answer
    x = 69,027.05

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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.