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Finding the Fourth Proportional to 106,007.30, 159,011.76 and 31,128.74

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Solution

The fourth proportional to 106,007.30, 159,011.76 and 31,128.74 is: 46,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,007.30 : 159,011.76 = 31,128.74 : x
  2. Step 2: Convert to fraction form
    106,007.30/159,011.76 = 31,128.74/x
  3. Step 3: Cross multiply
    106,007.30x = 159,011.76 × 31,128.74
  4. Step 4: Simplify right side
    106,007.30x = 4,949,835,733.98
  5. Step 5: Solve for x
    x = 4,949,835,733.98/106,007.30
  6. Step 6: Final answer
    x = 46,693.35

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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.