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Finding the Fourth Proportional to 130,431, 179,995.50 and 70,815

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Solution

The fourth proportional to 130,431, 179,995.50 and 70,815 is: 97,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,431 : 179,995.50 = 70,815 : x
  2. Step 2: Convert to fraction form
    130,431/179,995.50 = 70,815/x
  3. Step 3: Cross multiply
    130,431x = 179,995.50 × 70,815
  4. Step 4: Simplify right side
    130,431x = 12,746,381,332.50
  5. Step 5: Solve for x
    x = 12,746,381,332.50/130,431
  6. Step 6: Final answer
    x = 97,725.09

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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.