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Finding the Fourth Proportional to 151,475.36, 209,037.47 and 83,495

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Solution

The fourth proportional to 151,475.36, 209,037.47 and 83,495 is: 115,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,475.36 : 209,037.47 = 83,495 : x
  2. Step 2: Convert to fraction form
    151,475.36/209,037.47 = 83,495/x
  3. Step 3: Cross multiply
    151,475.36x = 209,037.47 × 83,495
  4. Step 4: Simplify right side
    151,475.36x = 17,453,583,557.65
  5. Step 5: Solve for x
    x = 17,453,583,557.65/151,475.36
  6. Step 6: Final answer
    x = 115,223.91

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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.