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Finding the Fourth Proportional to 108,153.84, 149,242.16 and 69,914.24

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Solution

The fourth proportional to 108,153.84, 149,242.16 and 69,914.24 is: 96,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,153.84 : 149,242.16 = 69,914.24 : x
  2. Step 2: Convert to fraction form
    108,153.84/149,242.16 = 69,914.24/x
  3. Step 3: Cross multiply
    108,153.84x = 149,242.16 × 69,914.24
  4. Step 4: Simplify right side
    108,153.84x = 10,434,152,192.36
  5. Step 5: Solve for x
    x = 10,434,152,192.36/108,153.84
  6. Step 6: Final answer
    x = 96,475.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.