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Finding the Fourth Proportional to 153,736, 230,638.08 and 47,134.72

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Solution

The fourth proportional to 153,736, 230,638.08 and 47,134.72 is: 70,712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,736 : 230,638.08 = 47,134.72 : x
  2. Step 2: Convert to fraction form
    153,736/230,638.08 = 47,134.72/x
  3. Step 3: Cross multiply
    153,736x = 230,638.08 × 47,134.72
  4. Step 4: Simplify right side
    153,736x = 10,871,061,322.14
  5. Step 5: Solve for x
    x = 10,871,061,322.14/153,736
  6. Step 6: Final answer
    x = 70,712.53

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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.