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Finding the Fourth Proportional to 138,411.19, 191,007.43 and 74,748.98

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Solution

The fourth proportional to 138,411.19, 191,007.43 and 74,748.98 is: 103,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.19 : 191,007.43 = 74,748.98 : x
  2. Step 2: Convert to fraction form
    138,411.19/191,007.43 = 74,748.98/x
  3. Step 3: Cross multiply
    138,411.19x = 191,007.43 × 74,748.98
  4. Step 4: Simplify right side
    138,411.19x = 14,277,609,423.01
  5. Step 5: Solve for x
    x = 14,277,609,423.01/138,411.19
  6. Step 6: Final answer
    x = 103,153.58

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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.