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Finding the Fourth Proportional to 216,509.06, 298,784.50 and 119,711.64

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Solution

The fourth proportional to 216,509.06, 298,784.50 and 119,711.64 is: 165,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,509.06 : 298,784.50 = 119,711.64 : x
  2. Step 2: Convert to fraction form
    216,509.06/298,784.50 = 119,711.64/x
  3. Step 3: Cross multiply
    216,509.06x = 298,784.50 × 119,711.64
  4. Step 4: Simplify right side
    216,509.06x = 35,767,982,501.58
  5. Step 5: Solve for x
    x = 35,767,982,501.58/216,509.06
  6. Step 6: Final answer
    x = 165,203.17

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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.