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Finding the Fourth Proportional to 78,038.57, 107,689.50 and 45,768.78

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Solution

The fourth proportional to 78,038.57, 107,689.50 and 45,768.78 is: 63,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,038.57 : 107,689.50 = 45,768.78 : x
  2. Step 2: Convert to fraction form
    78,038.57/107,689.50 = 45,768.78/x
  3. Step 3: Cross multiply
    78,038.57x = 107,689.50 × 45,768.78
  4. Step 4: Simplify right side
    78,038.57x = 4,928,817,033.81
  5. Step 5: Solve for x
    x = 4,928,817,033.81/78,038.57
  6. Step 6: Final answer
    x = 63,158.73

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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.