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Finding the Fourth Proportional to 150,748.80, 208,070.40 and 87,124.80

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Solution

The fourth proportional to 150,748.80, 208,070.40 and 87,124.80 is: 120,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,748.80 : 208,070.40 = 87,124.80 : x
  2. Step 2: Convert to fraction form
    150,748.80/208,070.40 = 87,124.80/x
  3. Step 3: Cross multiply
    150,748.80x = 208,070.40 × 87,124.80
  4. Step 4: Simplify right side
    150,748.80x = 18,128,091,985.92
  5. Step 5: Solve for x
    x = 18,128,091,985.92/150,748.80
  6. Step 6: Final answer
    x = 120,253.64

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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.