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Finding the Fourth Proportional to 105,263.94, 145,264.28 and 56,865.89

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Solution

The fourth proportional to 105,263.94, 145,264.28 and 56,865.89 is: 78,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,263.94 : 145,264.28 = 56,865.89 : x
  2. Step 2: Convert to fraction form
    105,263.94/145,264.28 = 56,865.89/x
  3. Step 3: Cross multiply
    105,263.94x = 145,264.28 × 56,865.89
  4. Step 4: Simplify right side
    105,263.94x = 8,260,582,567.41
  5. Step 5: Solve for x
    x = 8,260,582,567.41/105,263.94
  6. Step 6: Final answer
    x = 78,474.95

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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.