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Finding the Fourth Proportional to 130,232, 179,720.24 and 70,616

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Solution

The fourth proportional to 130,232, 179,720.24 and 70,616 is: 97,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,232 : 179,720.24 = 70,616 : x
  2. Step 2: Convert to fraction form
    130,232/179,720.24 = 70,616/x
  3. Step 3: Cross multiply
    130,232x = 179,720.24 × 70,616
  4. Step 4: Simplify right side
    130,232x = 12,691,124,467.84
  5. Step 5: Solve for x
    x = 12,691,124,467.84/130,232
  6. Step 6: Final answer
    x = 97,450.12

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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.