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Finding the Fourth Proportional to 142,643.48, 213,965.01 and 42,803.51

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Solution

The fourth proportional to 142,643.48, 213,965.01 and 42,803.51 is: 64,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,643.48 : 213,965.01 = 42,803.51 : x
  2. Step 2: Convert to fraction form
    142,643.48/213,965.01 = 42,803.51/x
  3. Step 3: Cross multiply
    142,643.48x = 213,965.01 × 42,803.51
  4. Step 4: Simplify right side
    142,643.48x = 9,158,452,375.36
  5. Step 5: Solve for x
    x = 9,158,452,375.36/142,643.48
  6. Step 6: Final answer
    x = 64,205.20

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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.