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Finding the Fourth Proportional to 162,319.21, 243,148.06 and 77,821.76

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Solution

The fourth proportional to 162,319.21, 243,148.06 and 77,821.76 is: 116,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,319.21 : 243,148.06 = 77,821.76 : x
  2. Step 2: Convert to fraction form
    162,319.21/243,148.06 = 77,821.76/x
  3. Step 3: Cross multiply
    162,319.21x = 243,148.06 × 77,821.76
  4. Step 4: Simplify right side
    162,319.21x = 18,922,210,674.93
  5. Step 5: Solve for x
    x = 18,922,210,674.93/162,319.21
  6. Step 6: Final answer
    x = 116,574.07

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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.