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Finding the Fourth Proportional to 109,145.80, 163,718.70 and 56,657.80

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Solution

The fourth proportional to 109,145.80, 163,718.70 and 56,657.80 is: 84,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,145.80 : 163,718.70 = 56,657.80 : x
  2. Step 2: Convert to fraction form
    109,145.80/163,718.70 = 56,657.80/x
  3. Step 3: Cross multiply
    109,145.80x = 163,718.70 × 56,657.80
  4. Step 4: Simplify right side
    109,145.80x = 9,275,941,360.86
  5. Step 5: Solve for x
    x = 9,275,941,360.86/109,145.80
  6. Step 6: Final answer
    x = 84,986.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.