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Finding the Fourth Proportional to 76,435.17, 105,478.50 and 42,442.77

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Solution

The fourth proportional to 76,435.17, 105,478.50 and 42,442.77 is: 58,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435.17 : 105,478.50 = 42,442.77 : x
  2. Step 2: Convert to fraction form
    76,435.17/105,478.50 = 42,442.77/x
  3. Step 3: Cross multiply
    76,435.17x = 105,478.50 × 42,442.77
  4. Step 4: Simplify right side
    76,435.17x = 4,476,799,715.45
  5. Step 5: Solve for x
    x = 4,476,799,715.45/76,435.17
  6. Step 6: Final answer
    x = 58,569.89

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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.