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Finding the Fourth Proportional to 130,464, 180,040.32 and 70,848

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Solution

The fourth proportional to 130,464, 180,040.32 and 70,848 is: 97,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,464 : 180,040.32 = 70,848 : x
  2. Step 2: Convert to fraction form
    130,464/180,040.32 = 70,848/x
  3. Step 3: Cross multiply
    130,464x = 180,040.32 × 70,848
  4. Step 4: Simplify right side
    130,464x = 12,755,496,591.36
  5. Step 5: Solve for x
    x = 12,755,496,591.36/130,464
  6. Step 6: Final answer
    x = 97,770.24

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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.