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Finding the Fourth Proportional to 133,802.56, 184,646.01 and 77,212.72

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Solution

The fourth proportional to 133,802.56, 184,646.01 and 77,212.72 is: 106,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,802.56 : 184,646.01 = 77,212.72 : x
  2. Step 2: Convert to fraction form
    133,802.56/184,646.01 = 77,212.72/x
  3. Step 3: Cross multiply
    133,802.56x = 184,646.01 × 77,212.72
  4. Step 4: Simplify right side
    133,802.56x = 14,257,020,669.25
  5. Step 5: Solve for x
    x = 14,257,020,669.25/133,802.56
  6. Step 6: Final answer
    x = 106,552.67

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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.