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Finding the Fourth Proportional to 126,578, 189,742.80 and 70,445

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Solution

The fourth proportional to 126,578, 189,742.80 and 70,445 is: 105,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,578 : 189,742.80 = 70,445 : x
  2. Step 2: Convert to fraction form
    126,578/189,742.80 = 70,445/x
  3. Step 3: Cross multiply
    126,578x = 189,742.80 × 70,445
  4. Step 4: Simplify right side
    126,578x = 13,366,431,546
  5. Step 5: Solve for x
    x = 13,366,431,546/126,578
  6. Step 6: Final answer
    x = 105,598.38

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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.