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Finding the Fourth Proportional to 76,275.28, 105,264 and 42,283

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Solution

The fourth proportional to 76,275.28, 105,264 and 42,283 is: 58,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,275.28 : 105,264 = 42,283 : x
  2. Step 2: Convert to fraction form
    76,275.28/105,264 = 42,283/x
  3. Step 3: Cross multiply
    76,275.28x = 105,264 × 42,283
  4. Step 4: Simplify right side
    76,275.28x = 4,450,877,712
  5. Step 5: Solve for x
    x = 4,450,877,712/76,275.28
  6. Step 6: Final answer
    x = 58,352.82

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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.