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Finding the Fourth Proportional to 151,056.80, 208,456.08 and 83,984.80

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Solution

The fourth proportional to 151,056.80, 208,456.08 and 83,984.80 is: 115,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,056.80 : 208,456.08 = 83,984.80 : x
  2. Step 2: Convert to fraction form
    151,056.80/208,456.08 = 83,984.80/x
  3. Step 3: Cross multiply
    151,056.80x = 208,456.08 × 83,984.80
  4. Step 4: Simplify right side
    151,056.80x = 17,507,142,187.58
  5. Step 5: Solve for x
    x = 17,507,142,187.58/151,056.80
  6. Step 6: Final answer
    x = 115,897.74

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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.