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Finding the Fourth Proportional to 210,039.84, 314,967.60 and 76,885.60

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Solution

The fourth proportional to 210,039.84, 314,967.60 and 76,885.60 is: 115,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,039.84 : 314,967.60 = 76,885.60 : x
  2. Step 2: Convert to fraction form
    210,039.84/314,967.60 = 76,885.60/x
  3. Step 3: Cross multiply
    210,039.84x = 314,967.60 × 76,885.60
  4. Step 4: Simplify right side
    210,039.84x = 24,216,472,906.56
  5. Step 5: Solve for x
    x = 24,216,472,906.56/210,039.84
  6. Step 6: Final answer
    x = 115,294.66

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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.