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Finding the Fourth Proportional to 210,868.02, 316,302.21 and 86,209.02

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Solution

The fourth proportional to 210,868.02, 316,302.21 and 86,209.02 is: 129,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,868.02 : 316,302.21 = 86,209.02 : x
  2. Step 2: Convert to fraction form
    210,868.02/316,302.21 = 86,209.02/x
  3. Step 3: Cross multiply
    210,868.02x = 316,302.21 × 86,209.02
  4. Step 4: Simplify right side
    210,868.02x = 27,268,103,547.93
  5. Step 5: Solve for x
    x = 27,268,103,547.93/210,868.02
  6. Step 6: Final answer
    x = 129,313.60

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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.