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Finding the Fourth Proportional to 130,446, 180,015.48 and 70,830

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Solution

The fourth proportional to 130,446, 180,015.48 and 70,830 is: 97,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,446 : 180,015.48 = 70,830 : x
  2. Step 2: Convert to fraction form
    130,446/180,015.48 = 70,830/x
  3. Step 3: Cross multiply
    130,446x = 180,015.48 × 70,830
  4. Step 4: Simplify right side
    130,446x = 12,750,496,448.40
  5. Step 5: Solve for x
    x = 12,750,496,448.40/130,446
  6. Step 6: Final answer
    x = 97,745.40

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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.