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Finding the Fourth Proportional to 77,841, 107,423.14 and 42,513

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Solution

The fourth proportional to 77,841, 107,423.14 and 42,513 is: 58,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,841 : 107,423.14 = 42,513 : x
  2. Step 2: Convert to fraction form
    77,841/107,423.14 = 42,513/x
  3. Step 3: Cross multiply
    77,841x = 107,423.14 × 42,513
  4. Step 4: Simplify right side
    77,841x = 4,566,879,950.82
  5. Step 5: Solve for x
    x = 4,566,879,950.82/77,841
  6. Step 6: Final answer
    x = 58,669.34

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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.