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Finding the Fourth Proportional to 210,077.60, 315,423.60 and 148,023.20

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Solution

The fourth proportional to 210,077.60, 315,423.60 and 148,023.20 is: 222,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,077.60 : 315,423.60 = 148,023.20 : x
  2. Step 2: Convert to fraction form
    210,077.60/315,423.60 = 148,023.20/x
  3. Step 3: Cross multiply
    210,077.60x = 315,423.60 × 148,023.20
  4. Step 4: Simplify right side
    210,077.60x = 46,690,010,627.52
  5. Step 5: Solve for x
    x = 46,690,010,627.52/210,077.60
  6. Step 6: Final answer
    x = 222,251.26

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1.5x scale

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.