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Finding the Fourth Proportional to 127,507.40, 190,823.70 and 117,009.80

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Solution

The fourth proportional to 127,507.40, 190,823.70 and 117,009.80 is: 175,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,507.40 : 190,823.70 = 117,009.80 : x
  2. Step 2: Convert to fraction form
    127,507.40/190,823.70 = 117,009.80/x
  3. Step 3: Cross multiply
    127,507.40x = 190,823.70 × 117,009.80
  4. Step 4: Simplify right side
    127,507.40x = 22,328,242,972.26
  5. Step 5: Solve for x
    x = 22,328,242,972.26/127,507.40
  6. Step 6: Final answer
    x = 175,113.31

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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.