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Finding the Fourth Proportional to 102,149.41, 140,963.74 and 56,827.57

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Solution

The fourth proportional to 102,149.41, 140,963.74 and 56,827.57 is: 78,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.41 : 140,963.74 = 56,827.57 : x
  2. Step 2: Convert to fraction form
    102,149.41/140,963.74 = 56,827.57/x
  3. Step 3: Cross multiply
    102,149.41x = 140,963.74 × 56,827.57
  4. Step 4: Simplify right side
    102,149.41x = 8,010,626,802.31
  5. Step 5: Solve for x
    x = 8,010,626,802.31/102,149.41
  6. Step 6: Final answer
    x = 78,420.69

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1.5x scale

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.