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Finding the Fourth Proportional to 100,506.86, 138,671.16 and 64,717.58

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Solution

The fourth proportional to 100,506.86, 138,671.16 and 64,717.58 is: 89,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,506.86 : 138,671.16 = 64,717.58 : x
  2. Step 2: Convert to fraction form
    100,506.86/138,671.16 = 64,717.58/x
  3. Step 3: Cross multiply
    100,506.86x = 138,671.16 × 64,717.58
  4. Step 4: Simplify right side
    100,506.86x = 8,974,461,890.99
  5. Step 5: Solve for x
    x = 8,974,461,890.99/100,506.86
  6. Step 6: Final answer
    x = 89,292.03

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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.