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Finding the Fourth Proportional to 130,634, 180,276.36 and 71,018

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Solution

The fourth proportional to 130,634, 180,276.36 and 71,018 is: 98,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,634 : 180,276.36 = 71,018 : x
  2. Step 2: Convert to fraction form
    130,634/180,276.36 = 71,018/x
  3. Step 3: Cross multiply
    130,634x = 180,276.36 × 71,018
  4. Step 4: Simplify right side
    130,634x = 12,802,866,534.48
  5. Step 5: Solve for x
    x = 12,802,866,534.48/130,634
  6. Step 6: Final answer
    x = 98,005.62

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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.