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Finding the Fourth Proportional to 108,935.10, 163,304.16 and 75,670.80

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Solution

The fourth proportional to 108,935.10, 163,304.16 and 75,670.80 is: 113,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,935.10 : 163,304.16 = 75,670.80 : x
  2. Step 2: Convert to fraction form
    108,935.10/163,304.16 = 75,670.80/x
  3. Step 3: Cross multiply
    108,935.10x = 163,304.16 × 75,670.80
  4. Step 4: Simplify right side
    108,935.10x = 12,357,356,430.53
  5. Step 5: Solve for x
    x = 12,357,356,430.53/108,935.10
  6. Step 6: Final answer
    x = 113,437.78

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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.