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Finding the Fourth Proportional to 216,972.71, 299,420.36 and 121,481

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Solution

The fourth proportional to 216,972.71, 299,420.36 and 121,481 is: 167,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,972.71 : 299,420.36 = 121,481 : x
  2. Step 2: Convert to fraction form
    216,972.71/299,420.36 = 121,481/x
  3. Step 3: Cross multiply
    216,972.71x = 299,420.36 × 121,481
  4. Step 4: Simplify right side
    216,972.71x = 36,373,884,753.16
  5. Step 5: Solve for x
    x = 36,373,884,753.16/216,972.71
  6. Step 6: Final answer
    x = 167,642.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.