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Finding the Fourth Proportional to 77,654.63, 106,898.94 and 57,473.48

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Solution

The fourth proportional to 77,654.63, 106,898.94 and 57,473.48 is: 79,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,654.63 : 106,898.94 = 57,473.48 : x
  2. Step 2: Convert to fraction form
    77,654.63/106,898.94 = 57,473.48/x
  3. Step 3: Cross multiply
    77,654.63x = 106,898.94 × 57,473.48
  4. Step 4: Simplify right side
    77,654.63x = 6,143,854,357.36
  5. Step 5: Solve for x
    x = 6,143,854,357.36/77,654.63
  6. Step 6: Final answer
    x = 79,117.68

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1.5x scale

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.