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Finding the Fourth Proportional to 102,103.88, 153,155.82 and 46,661

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Solution

The fourth proportional to 102,103.88, 153,155.82 and 46,661 is: 69,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103.88 : 153,155.82 = 46,661 : x
  2. Step 2: Convert to fraction form
    102,103.88/153,155.82 = 46,661/x
  3. Step 3: Cross multiply
    102,103.88x = 153,155.82 × 46,661
  4. Step 4: Simplify right side
    102,103.88x = 7,146,403,717.02
  5. Step 5: Solve for x
    x = 7,146,403,717.02/102,103.88
  6. Step 6: Final answer
    x = 69,991.50

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1.5x scale

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.