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Finding the Fourth Proportional to 125,920.29, 188,913.12 and 55,782.93

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Solution

The fourth proportional to 125,920.29, 188,913.12 and 55,782.93 is: 83,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,920.29 : 188,913.12 = 55,782.93 : x
  2. Step 2: Convert to fraction form
    125,920.29/188,913.12 = 55,782.93/x
  3. Step 3: Cross multiply
    125,920.29x = 188,913.12 × 55,782.93
  4. Step 4: Simplify right side
    125,920.29x = 10,538,127,349.04
  5. Step 5: Solve for x
    x = 10,538,127,349.04/125,920.29
  6. Step 6: Final answer
    x = 83,688.87

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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.