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Finding the Fourth Proportional to 142,415.10, 213,655.05 and 83,220.30

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Solution

The fourth proportional to 142,415.10, 213,655.05 and 83,220.30 is: 124,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,415.10 : 213,655.05 = 83,220.30 : x
  2. Step 2: Convert to fraction form
    142,415.10/213,655.05 = 83,220.30/x
  3. Step 3: Cross multiply
    142,415.10x = 213,655.05 × 83,220.30
  4. Step 4: Simplify right side
    142,415.10x = 17,780,437,357.52
  5. Step 5: Solve for x
    x = 17,780,437,357.52/142,415.10
  6. Step 6: Final answer
    x = 124,849.38

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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.