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Finding the Fourth Proportional to 133,819.12, 184,657.08 and 77,248.72

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Solution

The fourth proportional to 133,819.12, 184,657.08 and 77,248.72 is: 106,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.12 : 184,657.08 = 77,248.72 : x
  2. Step 2: Convert to fraction form
    133,819.12/184,657.08 = 77,248.72/x
  3. Step 3: Cross multiply
    133,819.12x = 184,657.08 × 77,248.72
  4. Step 4: Simplify right side
    133,819.12x = 14,264,523,068.94
  5. Step 5: Solve for x
    x = 14,264,523,068.94/133,819.12
  6. Step 6: Final answer
    x = 106,595.55

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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.