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Finding the Fourth Proportional to 210,971.80, 316,459.02 and 86,312.80

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Solution

The fourth proportional to 210,971.80, 316,459.02 and 86,312.80 is: 129,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,971.80 : 316,459.02 = 86,312.80 : x
  2. Step 2: Convert to fraction form
    210,971.80/316,459.02 = 86,312.80/x
  3. Step 3: Cross multiply
    210,971.80x = 316,459.02 × 86,312.80
  4. Step 4: Simplify right side
    210,971.80x = 27,314,464,101.46
  5. Step 5: Solve for x
    x = 27,314,464,101.46/210,971.80
  6. Step 6: Final answer
    x = 129,469.74

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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.