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Finding the Fourth Proportional to 162,121.40, 243,206.55 and 77,865.71

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Solution

The fourth proportional to 162,121.40, 243,206.55 and 77,865.71 is: 116,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,121.40 : 243,206.55 = 77,865.71 : x
  2. Step 2: Convert to fraction form
    162,121.40/243,206.55 = 77,865.71/x
  3. Step 3: Cross multiply
    162,121.40x = 243,206.55 × 77,865.71
  4. Step 4: Simplify right side
    162,121.40x = 18,937,449,476.37
  5. Step 5: Solve for x
    x = 18,937,449,476.37/162,121.40
  6. Step 6: Final answer
    x = 116,810.30

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1.5x scale

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.