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Finding the Fourth Proportional to 209,671.50, 314,509.68 and 51,901.32

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Solution

The fourth proportional to 209,671.50, 314,509.68 and 51,901.32 is: 77,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,671.50 : 314,509.68 = 51,901.32 : x
  2. Step 2: Convert to fraction form
    209,671.50/314,509.68 = 51,901.32/x
  3. Step 3: Cross multiply
    209,671.50x = 314,509.68 × 51,901.32
  4. Step 4: Simplify right side
    209,671.50x = 16,323,467,544.78
  5. Step 5: Solve for x
    x = 16,323,467,544.78/209,671.50
  6. Step 6: Final answer
    x = 77,852.58

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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.