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Finding the Fourth Proportional to 122,476.80, 183,715.20 and 87,225.60

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Solution

The fourth proportional to 122,476.80, 183,715.20 and 87,225.60 is: 130,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,476.80 : 183,715.20 = 87,225.60 : x
  2. Step 2: Convert to fraction form
    122,476.80/183,715.20 = 87,225.60/x
  3. Step 3: Cross multiply
    122,476.80x = 183,715.20 × 87,225.60
  4. Step 4: Simplify right side
    122,476.80x = 16,024,668,549.12
  5. Step 5: Solve for x
    x = 16,024,668,549.12/122,476.80
  6. Step 6: Final answer
    x = 130,838.40

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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.