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Finding the Fourth Proportional to 42,070, 58,020 and 36,402.92

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Solution

The fourth proportional to 42,070, 58,020 and 36,402.92 is: 50,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,070 : 58,020 = 36,402.92 : x
  2. Step 2: Convert to fraction form
    42,070/58,020 = 36,402.92/x
  3. Step 3: Cross multiply
    42,070x = 58,020 × 36,402.92
  4. Step 4: Simplify right side
    42,070x = 2,112,097,418.40
  5. Step 5: Solve for x
    x = 2,112,097,418.40/42,070
  6. Step 6: Final answer
    x = 50,204.36

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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.