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Finding the Fourth Proportional to 312,081.60, 468,237.60 and 101,726.40

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Solution

The fourth proportional to 312,081.60, 468,237.60 and 101,726.40 is: 152,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,081.60 : 468,237.60 = 101,726.40 : x
  2. Step 2: Convert to fraction form
    312,081.60/468,237.60 = 101,726.40/x
  3. Step 3: Cross multiply
    312,081.60x = 468,237.60 × 101,726.40
  4. Step 4: Simplify right side
    312,081.60x = 47,632,125,392.64
  5. Step 5: Solve for x
    x = 47,632,125,392.64/312,081.60
  6. Step 6: Final answer
    x = 152,627.15

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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.