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Finding the Fourth Proportional to 122,931.68, 184,335.84 and 71,656.88

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Solution

The fourth proportional to 122,931.68, 184,335.84 and 71,656.88 is: 107,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,931.68 : 184,335.84 = 71,656.88 : x
  2. Step 2: Convert to fraction form
    122,931.68/184,335.84 = 71,656.88/x
  3. Step 3: Cross multiply
    122,931.68x = 184,335.84 × 71,656.88
  4. Step 4: Simplify right side
    122,931.68x = 13,208,931,166.58
  5. Step 5: Solve for x
    x = 13,208,931,166.58/122,931.68
  6. Step 6: Final answer
    x = 107,449.37

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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.