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Finding the Fourth Proportional to 213,133.60, 319,959.60 and 160,127.20

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Solution

The fourth proportional to 213,133.60, 319,959.60 and 160,127.20 is: 240,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,133.60 : 319,959.60 = 160,127.20 : x
  2. Step 2: Convert to fraction form
    213,133.60/319,959.60 = 160,127.20/x
  3. Step 3: Cross multiply
    213,133.60x = 319,959.60 × 160,127.20
  4. Step 4: Simplify right side
    213,133.60x = 51,234,234,861.12
  5. Step 5: Solve for x
    x = 51,234,234,861.12/213,133.60
  6. Step 6: Final answer
    x = 240,385.54

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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.