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Finding the Fourth Proportional to 127,269.40, 190,904.10 and 74,781.40

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Solution

The fourth proportional to 127,269.40, 190,904.10 and 74,781.40 is: 112,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,269.40 : 190,904.10 = 74,781.40 : x
  2. Step 2: Convert to fraction form
    127,269.40/190,904.10 = 74,781.40/x
  3. Step 3: Cross multiply
    127,269.40x = 190,904.10 × 74,781.40
  4. Step 4: Simplify right side
    127,269.40x = 14,276,075,863.74
  5. Step 5: Solve for x
    x = 14,276,075,863.74/127,269.40
  6. Step 6: Final answer
    x = 112,172.10

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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.