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Finding the Fourth Proportional to 125,930.40, 188,722.80 and 102,602.40

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Solution

The fourth proportional to 125,930.40, 188,722.80 and 102,602.40 is: 153,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,930.40 : 188,722.80 = 102,602.40 : x
  2. Step 2: Convert to fraction form
    125,930.40/188,722.80 = 102,602.40/x
  3. Step 3: Cross multiply
    125,930.40x = 188,722.80 × 102,602.40
  4. Step 4: Simplify right side
    125,930.40x = 19,363,412,214.72
  5. Step 5: Solve for x
    x = 19,363,412,214.72/125,930.40
  6. Step 6: Final answer
    x = 153,762.81

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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.