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Finding the Fourth Proportional to 138,602.40, 191,271.41 and 74,940.18

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Solution

The fourth proportional to 138,602.40, 191,271.41 and 74,940.18 is: 103,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.40 : 191,271.41 = 74,940.18 : x
  2. Step 2: Convert to fraction form
    138,602.40/191,271.41 = 74,940.18/x
  3. Step 3: Cross multiply
    138,602.40x = 191,271.41 × 74,940.18
  4. Step 4: Simplify right side
    138,602.40x = 14,333,913,894.25
  5. Step 5: Solve for x
    x = 14,333,913,894.25/138,602.40
  6. Step 6: Final answer
    x = 103,417.50

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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.