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Finding the Fourth Proportional to 130,713, 180,384.10 and 71,097

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Solution

The fourth proportional to 130,713, 180,384.10 and 71,097 is: 98,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,713 : 180,384.10 = 71,097 : x
  2. Step 2: Convert to fraction form
    130,713/180,384.10 = 71,097/x
  3. Step 3: Cross multiply
    130,713x = 180,384.10 × 71,097
  4. Step 4: Simplify right side
    130,713x = 12,824,768,357.70
  5. Step 5: Solve for x
    x = 12,824,768,357.70/130,713
  6. Step 6: Final answer
    x = 98,113.95

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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.