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Finding the Fourth Proportional to 130,581, 195,926.93 and 71,347.47

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Solution

The fourth proportional to 130,581, 195,926.93 and 71,347.47 is: 107,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,581 : 195,926.93 = 71,347.47 : x
  2. Step 2: Convert to fraction form
    130,581/195,926.93 = 71,347.47/x
  3. Step 3: Cross multiply
    130,581x = 195,926.93 × 71,347.47
  4. Step 4: Simplify right side
    130,581x = 13,978,890,403.63
  5. Step 5: Solve for x
    x = 13,978,890,403.63/130,581
  6. Step 6: Final answer
    x = 107,051.49

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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.