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Finding the Fourth Proportional to 108,113.16, 162,159.84 and 76,658.16

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Solution

The fourth proportional to 108,113.16, 162,159.84 and 76,658.16 is: 114,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,113.16 : 162,159.84 = 76,658.16 : x
  2. Step 2: Convert to fraction form
    108,113.16/162,159.84 = 76,658.16/x
  3. Step 3: Cross multiply
    108,113.16x = 162,159.84 × 76,658.16
  4. Step 4: Simplify right side
    108,113.16x = 12,430,874,960.29
  5. Step 5: Solve for x
    x = 12,430,874,960.29/108,113.16
  6. Step 6: Final answer
    x = 114,980.22

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1.5x scale

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.