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Finding the Fourth Proportional to 105,572.94, 145,690.70 and 57,827.09

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Solution

The fourth proportional to 105,572.94, 145,690.70 and 57,827.09 is: 79,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,572.94 : 145,690.70 = 57,827.09 : x
  2. Step 2: Convert to fraction form
    105,572.94/145,690.70 = 57,827.09/x
  3. Step 3: Cross multiply
    105,572.94x = 145,690.70 × 57,827.09
  4. Step 4: Simplify right side
    105,572.94x = 8,424,868,203.47
  5. Step 5: Solve for x
    x = 8,424,868,203.47/105,572.94
  6. Step 6: Final answer
    x = 79,801.40

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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.