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Finding the Fourth Proportional to 210,710.16, 316,094.40 and 86,022

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Solution

The fourth proportional to 210,710.16, 316,094.40 and 86,022 is: 129,044.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,710.16 : 316,094.40 = 86,022 : x
  2. Step 2: Convert to fraction form
    210,710.16/316,094.40 = 86,022/x
  3. Step 3: Cross multiply
    210,710.16x = 316,094.40 × 86,022
  4. Step 4: Simplify right side
    210,710.16x = 27,191,072,476.80
  5. Step 5: Solve for x
    x = 27,191,072,476.80/210,710.16
  6. Step 6: Final answer
    x = 129,044.90

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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.