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Finding the Fourth Proportional to 151,602.80, 209,212.74 and 83,622.20

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Solution

The fourth proportional to 151,602.80, 209,212.74 and 83,622.20 is: 115,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,602.80 : 209,212.74 = 83,622.20 : x
  2. Step 2: Convert to fraction form
    151,602.80/209,212.74 = 83,622.20/x
  3. Step 3: Cross multiply
    151,602.80x = 209,212.74 × 83,622.20
  4. Step 4: Simplify right side
    151,602.80x = 17,494,829,586.83
  5. Step 5: Solve for x
    x = 17,494,829,586.83/151,602.80
  6. Step 6: Final answer
    x = 115,399.12

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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.