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Finding the Fourth Proportional to 130,816, 180,526.08 and 71,200

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Solution

The fourth proportional to 130,816, 180,526.08 and 71,200 is: 98,256

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,816 : 180,526.08 = 71,200 : x
  2. Step 2: Convert to fraction form
    130,816/180,526.08 = 71,200/x
  3. Step 3: Cross multiply
    130,816x = 180,526.08 × 71,200
  4. Step 4: Simplify right side
    130,816x = 12,853,456,896
  5. Step 5: Solve for x
    x = 12,853,456,896/130,816
  6. Step 6: Final answer
    x = 98,256

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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.