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Finding the Fourth Proportional to 126,408, 189,643.20 and 37,661.16

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Solution

The fourth proportional to 126,408, 189,643.20 and 37,661.16 is: 56,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,408 : 189,643.20 = 37,661.16 : x
  2. Step 2: Convert to fraction form
    126,408/189,643.20 = 37,661.16/x
  3. Step 3: Cross multiply
    126,408x = 189,643.20 × 37,661.16
  4. Step 4: Simplify right side
    126,408x = 7,142,182,898.11
  5. Step 5: Solve for x
    x = 7,142,182,898.11/126,408
  6. Step 6: Final answer
    x = 56,501.04

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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.