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Finding the Fourth Proportional to 130,180.24, 179,649 and 70,564.24

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Solution

The fourth proportional to 130,180.24, 179,649 and 70,564.24 is: 97,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,180.24 : 179,649 = 70,564.24 : x
  2. Step 2: Convert to fraction form
    130,180.24/179,649 = 70,564.24/x
  3. Step 3: Cross multiply
    130,180.24x = 179,649 × 70,564.24
  4. Step 4: Simplify right side
    130,180.24x = 12,676,795,151.76
  5. Step 5: Solve for x
    x = 12,676,795,151.76/130,180.24
  6. Step 6: Final answer
    x = 97,378.80

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1.5x scale

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.