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Finding the Fourth Proportional to 76,348.31, 105,360.93 and 42,357.47

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Solution

The fourth proportional to 76,348.31, 105,360.93 and 42,357.47 is: 58,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348.31 : 105,360.93 = 42,357.47 : x
  2. Step 2: Convert to fraction form
    76,348.31/105,360.93 = 42,357.47/x
  3. Step 3: Cross multiply
    76,348.31x = 105,360.93 × 42,357.47
  4. Step 4: Simplify right side
    76,348.31x = 4,462,821,904.84
  5. Step 5: Solve for x
    x = 4,462,821,904.84/76,348.31
  6. Step 6: Final answer
    x = 58,453.45

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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.