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Finding the Fourth Proportional to 210,230.82, 315,158.67 and 77,079.96

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Solution

The fourth proportional to 210,230.82, 315,158.67 and 77,079.96 is: 115,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,230.82 : 315,158.67 = 77,079.96 : x
  2. Step 2: Convert to fraction form
    210,230.82/315,158.67 = 77,079.96/x
  3. Step 3: Cross multiply
    210,230.82x = 315,158.67 × 77,079.96
  4. Step 4: Simplify right side
    210,230.82x = 24,292,417,677.25
  5. Step 5: Solve for x
    x = 24,292,417,677.25/210,230.82
  6. Step 6: Final answer
    x = 115,551.17

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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.