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Finding the Fourth Proportional to 130,428, 179,991.36 and 70,812

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Solution

The fourth proportional to 130,428, 179,991.36 and 70,812 is: 97,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,428 : 179,991.36 = 70,812 : x
  2. Step 2: Convert to fraction form
    130,428/179,991.36 = 70,812/x
  3. Step 3: Cross multiply
    130,428x = 179,991.36 × 70,812
  4. Step 4: Simplify right side
    130,428x = 12,745,548,184.32
  5. Step 5: Solve for x
    x = 12,745,548,184.32/130,428
  6. Step 6: Final answer
    x = 97,720.95

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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.