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Finding the Fourth Proportional to 76,409.36, 105,443.20 and 42,415.84

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Solution

The fourth proportional to 76,409.36, 105,443.20 and 42,415.84 is: 58,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,409.36 : 105,443.20 = 42,415.84 : x
  2. Step 2: Convert to fraction form
    76,409.36/105,443.20 = 42,415.84/x
  3. Step 3: Cross multiply
    76,409.36x = 105,443.20 × 42,415.84
  4. Step 4: Simplify right side
    76,409.36x = 4,472,461,900.29
  5. Step 5: Solve for x
    x = 4,472,461,900.29/76,409.36
  6. Step 6: Final answer
    x = 58,532.91

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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.