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Finding the Fourth Proportional to 127,402, 191,103.40 and 38,656.24

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Solution

The fourth proportional to 127,402, 191,103.40 and 38,656.24 is: 57,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,402 : 191,103.40 = 38,656.24 : x
  2. Step 2: Convert to fraction form
    127,402/191,103.40 = 38,656.24/x
  3. Step 3: Cross multiply
    127,402x = 191,103.40 × 38,656.24
  4. Step 4: Simplify right side
    127,402x = 7,387,338,895.22
  5. Step 5: Solve for x
    x = 7,387,338,895.22/127,402
  6. Step 6: Final answer
    x = 57,984.48

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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.