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Finding the Fourth Proportional to 213,415.68, 320,123.52 and 55,643.70

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Solution

The fourth proportional to 213,415.68, 320,123.52 and 55,643.70 is: 83,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,415.68 : 320,123.52 = 55,643.70 : x
  2. Step 2: Convert to fraction form
    213,415.68/320,123.52 = 55,643.70/x
  3. Step 3: Cross multiply
    213,415.68x = 320,123.52 × 55,643.70
  4. Step 4: Simplify right side
    213,415.68x = 17,812,857,109.82
  5. Step 5: Solve for x
    x = 17,812,857,109.82/213,415.68
  6. Step 6: Final answer
    x = 83,465.55

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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.