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Finding the Fourth Proportional to 210,870.07, 316,305.40 and 86,211.07

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Solution

The fourth proportional to 210,870.07, 316,305.40 and 86,211.07 is: 129,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,870.07 : 316,305.40 = 86,211.07 : x
  2. Step 2: Convert to fraction form
    210,870.07/316,305.40 = 86,211.07/x
  3. Step 3: Cross multiply
    210,870.07x = 316,305.40 × 86,211.07
  4. Step 4: Simplify right side
    210,870.07x = 27,269,025,399.25
  5. Step 5: Solve for x
    x = 27,269,025,399.25/210,870.07
  6. Step 6: Final answer
    x = 129,316.72

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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.