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Finding the Fourth Proportional to 127,261.60, 191,086.80 and 97,712.80

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Solution

The fourth proportional to 127,261.60, 191,086.80 and 97,712.80 is: 146,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,261.60 : 191,086.80 = 97,712.80 : x
  2. Step 2: Convert to fraction form
    127,261.60/191,086.80 = 97,712.80/x
  3. Step 3: Cross multiply
    127,261.60x = 191,086.80 × 97,712.80
  4. Step 4: Simplify right side
    127,261.60x = 18,671,626,271.04
  5. Step 5: Solve for x
    x = 18,671,626,271.04/127,261.60
  6. Step 6: Final answer
    x = 146,718.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.