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Finding the Fourth Proportional to 109,145.60, 163,718.40 and 77,350.40

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Solution

The fourth proportional to 109,145.60, 163,718.40 and 77,350.40 is: 116,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,145.60 : 163,718.40 = 77,350.40 : x
  2. Step 2: Convert to fraction form
    109,145.60/163,718.40 = 77,350.40/x
  3. Step 3: Cross multiply
    109,145.60x = 163,718.40 × 77,350.40
  4. Step 4: Simplify right side
    109,145.60x = 12,663,683,727.36
  5. Step 5: Solve for x
    x = 12,663,683,727.36/109,145.60
  6. Step 6: Final answer
    x = 116,025.60

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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.