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Finding the Fourth Proportional to 77,460.53, 116,176.81 and 20,534.81

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Solution

The fourth proportional to 77,460.53, 116,176.81 and 20,534.81 is: 30,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,460.53 : 116,176.81 = 20,534.81 : x
  2. Step 2: Convert to fraction form
    77,460.53/116,176.81 = 20,534.81/x
  3. Step 3: Cross multiply
    77,460.53x = 116,176.81 × 20,534.81
  4. Step 4: Simplify right side
    77,460.53x = 2,385,668,719.76
  5. Step 5: Solve for x
    x = 2,385,668,719.76/77,460.53
  6. Step 6: Final answer
    x = 30,798.51

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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.