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Finding the Fourth Proportional to 210,971.55, 316,458.65 and 86,312.55

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Solution

The fourth proportional to 210,971.55, 316,458.65 and 86,312.55 is: 129,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,971.55 : 316,458.65 = 86,312.55 : x
  2. Step 2: Convert to fraction form
    210,971.55/316,458.65 = 86,312.55/x
  3. Step 3: Cross multiply
    210,971.55x = 316,458.65 × 86,312.55
  4. Step 4: Simplify right side
    210,971.55x = 27,314,352,619.49
  5. Step 5: Solve for x
    x = 27,314,352,619.49/210,971.55
  6. Step 6: Final answer
    x = 129,469.37

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1.5x scale

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.