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Finding the Fourth Proportional to 87,646.88, 121,009.20 and 78,199.04

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Solution

The fourth proportional to 87,646.88, 121,009.20 and 78,199.04 is: 107,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,646.88 : 121,009.20 = 78,199.04 : x
  2. Step 2: Convert to fraction form
    87,646.88/121,009.20 = 78,199.04/x
  3. Step 3: Cross multiply
    87,646.88x = 121,009.20 × 78,199.04
  4. Step 4: Simplify right side
    87,646.88x = 9,462,803,271.17
  5. Step 5: Solve for x
    x = 9,462,803,271.17/87,646.88
  6. Step 6: Final answer
    x = 107,965.09

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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.