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Finding the Fourth Proportional to 189,802.12, 261,915.54 and 104,914.12

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Solution

The fourth proportional to 189,802.12, 261,915.54 and 104,914.12 is: 144,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,802.12 : 261,915.54 = 104,914.12 : x
  2. Step 2: Convert to fraction form
    189,802.12/261,915.54 = 104,914.12/x
  3. Step 3: Cross multiply
    189,802.12x = 261,915.54 × 104,914.12
  4. Step 4: Simplify right side
    189,802.12x = 27,478,638,393.42
  5. Step 5: Solve for x
    x = 27,478,638,393.42/189,802.12
  6. Step 6: Final answer
    x = 144,775.19

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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.