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Finding the Fourth Proportional to 127,681, 191,521.50 and 40,129

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Solution

The fourth proportional to 127,681, 191,521.50 and 40,129 is: 60,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,681 : 191,521.50 = 40,129 : x
  2. Step 2: Convert to fraction form
    127,681/191,521.50 = 40,129/x
  3. Step 3: Cross multiply
    127,681x = 191,521.50 × 40,129
  4. Step 4: Simplify right side
    127,681x = 7,685,566,273.50
  5. Step 5: Solve for x
    x = 7,685,566,273.50/127,681
  6. Step 6: Final answer
    x = 60,193.50

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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.