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Finding the Fourth Proportional to 108,415.32, 162,623.16 and 71,210.40

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Solution

The fourth proportional to 108,415.32, 162,623.16 and 71,210.40 is: 106,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,415.32 : 162,623.16 = 71,210.40 : x
  2. Step 2: Convert to fraction form
    108,415.32/162,623.16 = 71,210.40/x
  3. Step 3: Cross multiply
    108,415.32x = 162,623.16 × 71,210.40
  4. Step 4: Simplify right side
    108,415.32x = 11,580,460,272.86
  5. Step 5: Solve for x
    x = 11,580,460,272.86/108,415.32
  6. Step 6: Final answer
    x = 106,815.72

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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.