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Finding the Fourth Proportional to 76,348, 105,360.24 and 42,814

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Solution

The fourth proportional to 76,348, 105,360.24 and 42,814 is: 59,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,348 : 105,360.24 = 42,814 : x
  2. Step 2: Convert to fraction form
    76,348/105,360.24 = 42,814/x
  3. Step 3: Cross multiply
    76,348x = 105,360.24 × 42,814
  4. Step 4: Simplify right side
    76,348x = 4,510,893,315.36
  5. Step 5: Solve for x
    x = 4,510,893,315.36/76,348
  6. Step 6: Final answer
    x = 59,083.32

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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.