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Finding the Fourth Proportional to 213,152.47, 319,659.48 and 70,959.53

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Solution

The fourth proportional to 213,152.47, 319,659.48 and 70,959.53 is: 106,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,152.47 : 319,659.48 = 70,959.53 : x
  2. Step 2: Convert to fraction form
    213,152.47/319,659.48 = 70,959.53/x
  3. Step 3: Cross multiply
    213,152.47x = 319,659.48 × 70,959.53
  4. Step 4: Simplify right side
    213,152.47x = 22,682,887,259.99
  5. Step 5: Solve for x
    x = 22,682,887,259.99/213,152.47
  6. Step 6: Final answer
    x = 106,416.25

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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.