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Finding the Fourth Proportional to 106,470.01, 159,815.81 and 78,421.74

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Solution

The fourth proportional to 106,470.01, 159,815.81 and 78,421.74 is: 117,714.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,470.01 : 159,815.81 = 78,421.74 : x
  2. Step 2: Convert to fraction form
    106,470.01/159,815.81 = 78,421.74/x
  3. Step 3: Cross multiply
    106,470.01x = 159,815.81 × 78,421.74
  4. Step 4: Simplify right side
    106,470.01x = 12,533,033,899.71
  5. Step 5: Solve for x
    x = 12,533,033,899.71/106,470.01
  6. Step 6: Final answer
    x = 117,714.22

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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.