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Finding the Fourth Proportional to 210,258, 315,518.22 and 85,599

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Solution

The fourth proportional to 210,258, 315,518.22 and 85,599 is: 128,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,258 : 315,518.22 = 85,599 : x
  2. Step 2: Convert to fraction form
    210,258/315,518.22 = 85,599/x
  3. Step 3: Cross multiply
    210,258x = 315,518.22 × 85,599
  4. Step 4: Simplify right side
    210,258x = 27,008,044,113.78
  5. Step 5: Solve for x
    x = 27,008,044,113.78/210,258
  6. Step 6: Final answer
    x = 128,451.92

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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.