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Finding the Fourth Proportional to 76,785.81, 105,973.02 and 42,797.40

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Solution

The fourth proportional to 76,785.81, 105,973.02 and 42,797.40 is: 59,065.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,785.81 : 105,973.02 = 42,797.40 : x
  2. Step 2: Convert to fraction form
    76,785.81/105,973.02 = 42,797.40/x
  3. Step 3: Cross multiply
    76,785.81x = 105,973.02 × 42,797.40
  4. Step 4: Simplify right side
    76,785.81x = 4,535,369,726.15
  5. Step 5: Solve for x
    x = 4,535,369,726.15/76,785.81
  6. Step 6: Final answer
    x = 59,065.21

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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.