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Finding the Fourth Proportional to 105,267.68, 145,267.65 and 57,519.93

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Solution

The fourth proportional to 105,267.68, 145,267.65 and 57,519.93 is: 79,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,267.68 : 145,267.65 = 57,519.93 : x
  2. Step 2: Convert to fraction form
    105,267.68/145,267.65 = 57,519.93/x
  3. Step 3: Cross multiply
    105,267.68x = 145,267.65 × 57,519.93
  4. Step 4: Simplify right side
    105,267.68x = 8,355,785,059.26
  5. Step 5: Solve for x
    x = 8,355,785,059.26/105,267.68
  6. Step 6: Final answer
    x = 79,376.55

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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.