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Finding the Fourth Proportional to 50,477.51, 69,658.65 and 27,816

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Solution

The fourth proportional to 50,477.51, 69,658.65 and 27,816 is: 38,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,477.51 : 69,658.65 = 27,816 : x
  2. Step 2: Convert to fraction form
    50,477.51/69,658.65 = 27,816/x
  3. Step 3: Cross multiply
    50,477.51x = 69,658.65 × 27,816
  4. Step 4: Simplify right side
    50,477.51x = 1,937,625,008.40
  5. Step 5: Solve for x
    x = 1,937,625,008.40/50,477.51
  6. Step 6: Final answer
    x = 38,385.91

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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.