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Finding the Fourth Proportional to 209,915.99, 314,875.40 and 76,741.46

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Solution

The fourth proportional to 209,915.99, 314,875.40 and 76,741.46 is: 115,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,915.99 : 314,875.40 = 76,741.46 : x
  2. Step 2: Convert to fraction form
    209,915.99/314,875.40 = 76,741.46/x
  3. Step 3: Cross multiply
    209,915.99x = 314,875.40 × 76,741.46
  4. Step 4: Simplify right side
    209,915.99x = 24,163,997,914.08
  5. Step 5: Solve for x
    x = 24,163,997,914.08/209,915.99
  6. Step 6: Final answer
    x = 115,112.71

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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.