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Finding the Fourth Proportional to 138,602.48, 191,271.30 and 74,940.14

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Solution

The fourth proportional to 138,602.48, 191,271.30 and 74,940.14 is: 103,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.48 : 191,271.30 = 74,940.14 : x
  2. Step 2: Convert to fraction form
    138,602.48/191,271.30 = 74,940.14/x
  3. Step 3: Cross multiply
    138,602.48x = 191,271.30 × 74,940.14
  4. Step 4: Simplify right side
    138,602.48x = 14,333,897,999.98
  5. Step 5: Solve for x
    x = 14,333,897,999.98/138,602.48
  6. Step 6: Final answer
    x = 103,417.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.