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Finding the Fourth Proportional to 219,814.70, 329,831.40 and 86,699.30

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Solution

The fourth proportional to 219,814.70, 329,831.40 and 86,699.30 is: 130,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,814.70 : 329,831.40 = 86,699.30 : x
  2. Step 2: Convert to fraction form
    219,814.70/329,831.40 = 86,699.30/x
  3. Step 3: Cross multiply
    219,814.70x = 329,831.40 × 86,699.30
  4. Step 4: Simplify right side
    219,814.70x = 28,596,151,498.02
  5. Step 5: Solve for x
    x = 28,596,151,498.02/219,814.70
  6. Step 6: Final answer
    x = 130,092.08

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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.