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Finding the Fourth Proportional to 117,030.42, 161,507.79 and 71,710.92

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Solution

The fourth proportional to 117,030.42, 161,507.79 and 71,710.92 is: 98,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,030.42 : 161,507.79 = 71,710.92 : x
  2. Step 2: Convert to fraction form
    117,030.42/161,507.79 = 71,710.92/x
  3. Step 3: Cross multiply
    117,030.42x = 161,507.79 × 71,710.92
  4. Step 4: Simplify right side
    117,030.42x = 11,581,872,208.07
  5. Step 5: Solve for x
    x = 11,581,872,208.07/117,030.42
  6. Step 6: Final answer
    x = 98,964.63

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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.