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Finding the Fourth Proportional to 142,139.08, 213,163.24 and 57,899.08

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Solution

The fourth proportional to 142,139.08, 213,163.24 and 57,899.08 is: 86,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,139.08 : 213,163.24 = 57,899.08 : x
  2. Step 2: Convert to fraction form
    142,139.08/213,163.24 = 57,899.08/x
  3. Step 3: Cross multiply
    142,139.08x = 213,163.24 × 57,899.08
  4. Step 4: Simplify right side
    142,139.08x = 12,341,955,485.82
  5. Step 5: Solve for x
    x = 12,341,955,485.82/142,139.08
  6. Step 6: Final answer
    x = 86,830.13

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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.