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Finding the Fourth Proportional to 122,117.60, 183,176.40 and 75,461.60

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Solution

The fourth proportional to 122,117.60, 183,176.40 and 75,461.60 is: 113,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,117.60 : 183,176.40 = 75,461.60 : x
  2. Step 2: Convert to fraction form
    122,117.60/183,176.40 = 75,461.60/x
  3. Step 3: Cross multiply
    122,117.60x = 183,176.40 × 75,461.60
  4. Step 4: Simplify right side
    122,117.60x = 13,822,784,226.24
  5. Step 5: Solve for x
    x = 13,822,784,226.24/122,117.60
  6. Step 6: Final answer
    x = 113,192.40

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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.