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Finding the Fourth Proportional to 72,106.98, 99,509.64 and 39,843.68

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Solution

The fourth proportional to 72,106.98, 99,509.64 and 39,843.68 is: 54,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,106.98 : 99,509.64 = 39,843.68 : x
  2. Step 2: Convert to fraction form
    72,106.98/99,509.64 = 39,843.68/x
  3. Step 3: Cross multiply
    72,106.98x = 99,509.64 × 39,843.68
  4. Step 4: Simplify right side
    72,106.98x = 3,964,830,253.08
  5. Step 5: Solve for x
    x = 3,964,830,253.08/72,106.98
  6. Step 6: Final answer
    x = 54,985.39

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1.5x scale

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.