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Finding the Fourth Proportional to 99,208.60, 148,640.10 and 83,656.60

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Solution

The fourth proportional to 99,208.60, 148,640.10 and 83,656.60 is: 125,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,208.60 : 148,640.10 = 83,656.60 : x
  2. Step 2: Convert to fraction form
    99,208.60/148,640.10 = 83,656.60/x
  3. Step 3: Cross multiply
    99,208.60x = 148,640.10 × 83,656.60
  4. Step 4: Simplify right side
    99,208.60x = 12,434,725,389.66
  5. Step 5: Solve for x
    x = 12,434,725,389.66/99,208.60
  6. Step 6: Final answer
    x = 125,339.19

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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.