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Finding the Fourth Proportional to 130,635.46, 180,276.09 and 71,019.46

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Solution

The fourth proportional to 130,635.46, 180,276.09 and 71,019.46 is: 98,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,635.46 : 180,276.09 = 71,019.46 : x
  2. Step 2: Convert to fraction form
    130,635.46/180,276.09 = 71,019.46/x
  3. Step 3: Cross multiply
    130,635.46x = 180,276.09 × 71,019.46
  4. Step 4: Simplify right side
    130,635.46x = 12,803,110,562.71
  5. Step 5: Solve for x
    x = 12,803,110,562.71/130,635.46
  6. Step 6: Final answer
    x = 98,006.40

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1.5x scale

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.