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Finding the Fourth Proportional to 127,457.90, 191,239.05 and 56,342.90

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Solution

The fourth proportional to 127,457.90, 191,239.05 and 56,342.90 is: 84,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,457.90 : 191,239.05 = 56,342.90 : x
  2. Step 2: Convert to fraction form
    127,457.90/191,239.05 = 56,342.90/x
  3. Step 3: Cross multiply
    127,457.90x = 191,239.05 × 56,342.90
  4. Step 4: Simplify right side
    127,457.90x = 10,774,962,670.25
  5. Step 5: Solve for x
    x = 10,774,962,670.25/127,457.90
  6. Step 6: Final answer
    x = 84,537.43

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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.