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Finding the Fourth Proportional to 105,627.51, 145,766.02 and 57,880.86

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Solution

The fourth proportional to 105,627.51, 145,766.02 and 57,880.86 is: 79,875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,627.51 : 145,766.02 = 57,880.86 : x
  2. Step 2: Convert to fraction form
    105,627.51/145,766.02 = 57,880.86/x
  3. Step 3: Cross multiply
    105,627.51x = 145,766.02 × 57,880.86
  4. Step 4: Simplify right side
    105,627.51x = 8,437,062,503.94
  5. Step 5: Solve for x
    x = 8,437,062,503.94/105,627.51
  6. Step 6: Final answer
    x = 79,875.62

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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.