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Finding the Fourth Proportional to 216,823.65, 299,206.80 and 120,031.08

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Solution

The fourth proportional to 216,823.65, 299,206.80 and 120,031.08 is: 165,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,823.65 : 299,206.80 = 120,031.08 : x
  2. Step 2: Convert to fraction form
    216,823.65/299,206.80 = 120,031.08/x
  3. Step 3: Cross multiply
    216,823.65x = 299,206.80 × 120,031.08
  4. Step 4: Simplify right side
    216,823.65x = 35,914,115,347.34
  5. Step 5: Solve for x
    x = 35,914,115,347.34/216,823.65
  6. Step 6: Final answer
    x = 165,637.44

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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.