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Finding the Fourth Proportional to 127,712, 191,598.72 and 40,160

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Solution

The fourth proportional to 127,712, 191,598.72 and 40,160 is: 60,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,712 : 191,598.72 = 40,160 : x
  2. Step 2: Convert to fraction form
    127,712/191,598.72 = 40,160/x
  3. Step 3: Cross multiply
    127,712x = 191,598.72 × 40,160
  4. Step 4: Simplify right side
    127,712x = 7,694,604,595.20
  5. Step 5: Solve for x
    x = 7,694,604,595.20/127,712
  6. Step 6: Final answer
    x = 60,249.66

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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.