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Finding the Fourth Proportional to 169,709.60, 254,577.16 and 51,390.47

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Solution

The fourth proportional to 169,709.60, 254,577.16 and 51,390.47 is: 77,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,709.60 : 254,577.16 = 51,390.47 : x
  2. Step 2: Convert to fraction form
    169,709.60/254,577.16 = 51,390.47/x
  3. Step 3: Cross multiply
    169,709.60x = 254,577.16 × 51,390.47
  4. Step 4: Simplify right side
    169,709.60x = 13,082,839,903.67
  5. Step 5: Solve for x
    x = 13,082,839,903.67/169,709.60
  6. Step 6: Final answer
    x = 77,089.57

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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.