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Finding the Fourth Proportional to 42,349.60, 58,270.80 and 34,768

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Solution

The fourth proportional to 42,349.60, 58,270.80 and 34,768 is: 47,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,349.60 : 58,270.80 = 34,768 : x
  2. Step 2: Convert to fraction form
    42,349.60/58,270.80 = 34,768/x
  3. Step 3: Cross multiply
    42,349.60x = 58,270.80 × 34,768
  4. Step 4: Simplify right side
    42,349.60x = 2,025,959,174.40
  5. Step 5: Solve for x
    x = 2,025,959,174.40/42,349.60
  6. Step 6: Final answer
    x = 47,838.92

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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.