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Finding the Fourth Proportional to 120,898.51, 166,914.27 and 77,952.17

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Solution

The fourth proportional to 120,898.51, 166,914.27 and 77,952.17 is: 107,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,898.51 : 166,914.27 = 77,952.17 : x
  2. Step 2: Convert to fraction form
    120,898.51/166,914.27 = 77,952.17/x
  3. Step 3: Cross multiply
    120,898.51x = 166,914.27 × 77,952.17
  4. Step 4: Simplify right side
    120,898.51x = 13,011,329,967.75
  5. Step 5: Solve for x
    x = 13,011,329,967.75/120,898.51
  6. Step 6: Final answer
    x = 107,621.92

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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.