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Finding the Fourth Proportional to 210,887.40, 316,332.30 and 86,228.40

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Solution

The fourth proportional to 210,887.40, 316,332.30 and 86,228.40 is: 129,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,887.40 : 316,332.30 = 86,228.40 : x
  2. Step 2: Convert to fraction form
    210,887.40/316,332.30 = 86,228.40/x
  3. Step 3: Cross multiply
    210,887.40x = 316,332.30 × 86,228.40
  4. Step 4: Simplify right side
    210,887.40x = 27,276,828,097.32
  5. Step 5: Solve for x
    x = 27,276,828,097.32/210,887.40
  6. Step 6: Final answer
    x = 129,343.09

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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.