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Finding the Fourth Proportional to 76,430.21, 105,472.21 and 42,436.94

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Solution

The fourth proportional to 76,430.21, 105,472.21 and 42,436.94 is: 58,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430.21 : 105,472.21 = 42,436.94 : x
  2. Step 2: Convert to fraction form
    76,430.21/105,472.21 = 42,436.94/x
  3. Step 3: Cross multiply
    76,430.21x = 105,472.21 × 42,436.94
  4. Step 4: Simplify right side
    76,430.21x = 4,475,917,847.44
  5. Step 5: Solve for x
    x = 4,475,917,847.44/76,430.21
  6. Step 6: Final answer
    x = 58,562.16

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1.5x scale

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.