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Finding the Fourth Proportional to 105,263.69, 145,263.93 and 56,865.64

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Solution

The fourth proportional to 105,263.69, 145,263.93 and 56,865.64 is: 78,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,263.69 : 145,263.93 = 56,865.64 : x
  2. Step 2: Convert to fraction form
    105,263.69/145,263.93 = 56,865.64/x
  3. Step 3: Cross multiply
    105,263.69x = 145,263.93 × 56,865.64
  4. Step 4: Simplify right side
    105,263.69x = 8,260,526,348.37
  5. Step 5: Solve for x
    x = 8,260,526,348.37/105,263.69
  6. Step 6: Final answer
    x = 78,474.60

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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.