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Finding the Fourth Proportional to 216,892.64, 299,311.52 and 121,417.68

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Solution

The fourth proportional to 216,892.64, 299,311.52 and 121,417.68 is: 167,556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,892.64 : 299,311.52 = 121,417.68 : x
  2. Step 2: Convert to fraction form
    216,892.64/299,311.52 = 121,417.68/x
  3. Step 3: Cross multiply
    216,892.64x = 299,311.52 × 121,417.68
  4. Step 4: Simplify right side
    216,892.64x = 36,341,710,355.67
  5. Step 5: Solve for x
    x = 36,341,710,355.67/216,892.64
  6. Step 6: Final answer
    x = 167,556.22

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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.