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Finding the Fourth Proportional to 127,154.88, 190,656.63 and 42,894.32

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Solution

The fourth proportional to 127,154.88, 190,656.63 and 42,894.32 is: 64,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,154.88 : 190,656.63 = 42,894.32 : x
  2. Step 2: Convert to fraction form
    127,154.88/190,656.63 = 42,894.32/x
  3. Step 3: Cross multiply
    127,154.88x = 190,656.63 × 42,894.32
  4. Step 4: Simplify right side
    127,154.88x = 8,178,085,544.06
  5. Step 5: Solve for x
    x = 8,178,085,544.06/127,154.88
  6. Step 6: Final answer
    x = 64,315.94

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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.