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Finding the Fourth Proportional to 77,169.13, 106,507.04 and 45,338.02

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Solution

The fourth proportional to 77,169.13, 106,507.04 and 45,338.02 is: 62,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,169.13 : 106,507.04 = 45,338.02 : x
  2. Step 2: Convert to fraction form
    77,169.13/106,507.04 = 45,338.02/x
  3. Step 3: Cross multiply
    77,169.13x = 106,507.04 × 45,338.02
  4. Step 4: Simplify right side
    77,169.13x = 4,828,817,890.47
  5. Step 5: Solve for x
    x = 4,828,817,890.47/77,169.13
  6. Step 6: Final answer
    x = 62,574.48

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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.