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Finding the Fourth Proportional to 103,289, 142,538.82 and 58,577

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Solution

The fourth proportional to 103,289, 142,538.82 and 58,577 is: 80,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,289 : 142,538.82 = 58,577 : x
  2. Step 2: Convert to fraction form
    103,289/142,538.82 = 58,577/x
  3. Step 3: Cross multiply
    103,289x = 142,538.82 × 58,577
  4. Step 4: Simplify right side
    103,289x = 8,349,496,459.14
  5. Step 5: Solve for x
    x = 8,349,496,459.14/103,289
  6. Step 6: Final answer
    x = 80,836.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.